Let A = [ 2 − 3 4 7 ] and B = [ 3 − 4 5 1 ] . Find (a) 2 A + 3 B ; (b) 3 A − 2 B ; (c) A B ; (d) BA.

Question

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Answer 1

Textbook Question

Chapter 5.1, Problem 1P

Let A = [ 2 − 3 4 7 ] and B = [ 3 − 4 5 1 ] .

Find (a) 2 A + 3 B ; (b) 3 A − 2 B ; (c) A B ; (d) BA.

(a)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

(b)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

(c)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

(d)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

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Q1: a) For how many n ∈{ 1,2,...,500} is n a multiple of one or more of 5, 6, or 7? b) For how many n ∈ {1,2,...,500} is n a multiple of one or more of 5, 6 ? Please use this formula for both ques formula : n(A+B+C) = n(A) + n(B) + n(C) - n(AB) -n(AC) -n(BC) + n(ABC) [ this formula is for 3 digit numbers] { what will be foemula for 2 digits ) please make it clear. ty

Answer 2

Textbook Question

Chapter 5.1, Problem 1P

Let A = [ 2 − 3 4 7 ] and B = [ 3 − 4 5 1 ] .

Find (a) 2 A + 3 B ; (b) 3 A − 2 B ; (c) A B ; (d) BA.

(a)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

(b)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

(c)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

(d)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

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Answer 3

Textbook Question

Chapter 5.1, Problem 1P

Let A = [ 2 − 3 4 7 ] and B = [ 3 − 4 5 1 ] .

Find (a) 2 A + 3 B ; (b) 3 A − 2 B ; (c) A B ; (d) BA.

(a)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

(b)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

(c)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

(d)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

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Answer 4

Textbook Question

Chapter 5.1, Problem 1P

Let A = [ 2 − 3 4 7 ] and B = [ 3 − 4 5 1 ] .

Find (a) 2 A + 3 B ; (b) 3 A − 2 B ; (c) A B ; (d) BA.

(a)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

(b)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

(c)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

(d)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

(b)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

(c)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

(d)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

Answer 8

(a)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 2A+3B .

Summary introduction: Problem will use matrix additionin the matrices A=[2−347] and B=[3−451] .

Answer 13

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of 2A+3B is calculated as,

2A+3B=2[ 2 −3 4 7] +3[ 3 −4 5 1]=[ 4 −6 8 14] +[ 9 −12 15 3]=[ 4+9 −6−12 8+15 14+3]=[ 13 −18 23 17]

The value of 2A+3B is [13−182317] .

Conclusion:

Thus, thevalue of 2A+3B for the matrices A=[2−347] and B=[3−451] is [13−182317] .

Answer 14

(b)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of 3A−2B .

Summary introduction: Problem will use matrix subtractionin the matrices A=[2−347] and B=[3−451] .

Answer 19

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The given matrices A and B are,

A=[2−347] and B=[3−451]

Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of 3A−2B is calculated as,

3A−2B=3[ 2 −3 4 7] −2[ 3 −4 5 1]=[ 6 −9 12 21] −[ 6 −8 10 2]=[ 6−6 −9+8 12−10 21−2]=[ 0 −1 2 19]

The value of 3A−2B is [0−1219] .

Conclusion:

Thus, thevalue of 3A−2B for the matrices A=[2−347] and B=[3−451] is [0−1219] .

Answer 20

(c)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

Answer 21

(c)

Expert Solution

Answer 22

(c)

Expert Solution

Answer 23

Expert Solution

Answer 24

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of AB .

Summary introduction: Problem will use matrix multiplicationin the matrices A=[2−347] and B=[3−451] .

Answer 25

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix A and B is calculated as,

AB=[ 2 −3 4 7] [ 3 −4 5 1]=[ 6−15 −8−3 12+35 −16+7] =[ −9 −11 47 −9]

The value of AB is [−9−1147−9] .

Conclusion:

Thus, thevalue of AB for the matrices A=[2−347] and B=[3−451] is [−9−1147−9] .

Answer 26

(d)

Expert Solution

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

Answer 27

(d)

Expert Solution

Answer 28

(d)

Expert Solution

Answer 29

Expert Solution

Answer 30

Program Plan Intro

Program Description: Purpose ofproblem is to calculate the value of BA .

Summary introduction: Problem will use matrix multiplication in the matrices A=[2−347] and B=[3−451] .

Answer 31

Explanation of Solution

Given information:

The matrices A and B are,

A=[2−347] and B=[3−451]

Explanation:

The matrices A and B are,

A=[2−347] and B=[3−451]

The multiplication of matrix B and A is calculated as,

BA= [ 3 −4 5 1][ 2 −3 4 7]=[ 6−16 −9−28 10+4 −15+7] =[ −10 −37 14 −8]

The value of BA is [−10−3714−8] .

Conclusion:

Thus, thevalue of BA for the matrices A=[2−347] and B=[3−451] is [−10−3714−8] .

Answer 32

Ch. 5.1 - Let A=[2347] and B=[3451]. Find (a) 2A+3B; (b)...Ch. 5.1 - Prob. 2P Ch. 5.1 - Find AB and BA given A=[203415] and B=[137032].Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

Let A = [ 2 − 3 4 7 ] and B = [ 3 − 4 5 1 ] . Find (a) 2 A + 3 B ; (b) 3 A − 2 B ; (c) A B ; (d) BA.

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