Concept explainers
(a)
Find the addition of matrix
(a)
Answer to Problem 17P
The addition of matrix
Explanation of Solution
Given data:
Calculation:
Add two matrixes
Reduce the equation (1) as follows,
Therefore, the addition of matrix
Conclusion:
Thus, the addition of matrix
(b)
Find the subtraction of matrix
(b)
Answer to Problem 17P
The subtraction of matrix
Explanation of Solution
Given data:
Calculation:
Subtract two matrixes
Reduce the equation (2) as follows,
Therefore, the subtraction of matrix
Conclusion:
Thus, the subtraction of matrix
(c)
Find the value of
(c)
Answer to Problem 17P
The value of
Explanation of Solution
Given data:
Calculation:
Three times of matrix
Reduce equation (3) as follows,
Therefore, the value of
Conclusion:
Thus, the value of
(d)
Find the multiplication of matrix
(d)
Answer to Problem 17P
The multiplication of matrix
Explanation of Solution
Given data:
Calculation:
Multiply the matrix
Reduce equation (4) as follows,
Therefore, the multiplication of matrix
Conclusion:
Therefore, the multiplication of matrix
(e)
Find the multiplication of matrix
(e)
Answer to Problem 17P
The multiplication of matrix
Explanation of Solution
Given data:
Calculation:
Multiply the matrix
Reduce equation (5) as follows,
Therefore, the multiplication of matrix
Conclusion:
Therefore, the multiplication of matrix
(f)
Find the square of matrix
(f)
Answer to Problem 17P
The square of matrix
Explanation of Solution
Given data:
Calculation:
Square of the matrix
Reduce equation (6) as follows,
Therefore, the square of matrix
Conclusion:
Therefore, the square of matrix
(g)
Prove the operation
(g)
Explanation of Solution
Given data:
Calculation:
Therefore,
Reduce equation (7) as follows,
Now,
Reduce equation (9) as follows,
Comparing equation (9) and (10),
Hence proved
Conclusion:
Thus, the operation
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Chapter 18 Solutions
ENGINEERING FUNDAMENTALS
- Q 1: Find the first and second order partial derivatives of f(x,y, z) = x³ + Зx?у + ysinzarrow_forwardverify that the function y=C1e^x +c2e^2x is a solution of the differential equation y''-3y'+2y=0arrow_forwardED Just you 6 -2 8 1.1 -2.5 [A] = -3 -1 10.3 8 1 3 В - 39 1. Check if the above matrices are diagonally dominant matrix. Show your solution. Morearrow_forward
- 2. Given matrix M below, [sin2 A sin A cos A cos2 AT sin B cos B cos² B cos2 CJ M sin? B Lsin? C sin C cos C Show that det M = sin (A – B) sin (B – C) sin (C - A)arrow_forwardEvaluate the following matrix operation. 1. Find the sum of A and B given: a - [: ] %3D C d d. B = f garrow_forwardQ1: - Determine the centroidal coordinate of the shaded area shown in the figure below. Assume all units in inch. 4.0 r-1- y 2y=x^3/ tt 2.0 2.0 2.0arrow_forward
- Use Secant Method to find the root of the equation below correct to 8 decimal places, by tabulating the computed values. 1. f(x) = x + e^xarrow_forwardDetermine the partial differentiation for each of the following functions (i) z = x?y cos(xy) (ii) z = (3x² + y)?arrow_forwardGiven the following matrices: [o 3 7 and B] 5 0 [4 6 -2 [A] = 8 9 -2 9 = !7 2 3, perform the following operations: 1 3 -4 (a) [A] = ? and (b) [B]' = ?arrow_forward
- Find the average value of y = sin x between x = 0 to x = π.arrow_forward2. Bernoulli's equation is expressed as 2++z = constant 2g Research on the corresponding units for each parameter in both the SI and English Units of Measurement and use the grid method to show that the left side of the equation is dimensionally homogenous.arrow_forwardAnswer the following: 1. Write an example of a matrix multiplication that is undefined. 2. If the expression A x B is defined, and if A is a 3 x 5 matrix, then what could be the dimensions of B? 3. Define Matrix multiplication in your own words. 4.Matrix C has dimensions 2 x 3, Matrix D has dimensions 2 x 3, and matrix F has dimensions 3 x 2. Find the dimensions of the following products: a. CD b. DF c. FC 11 Explain all your answer for each question use Reply"arrow_forward
- Engineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning