Suppose that 10 07 R₁ 01 0 R₂ LO 0 0 2 1 R3 (where R₁, R₂ and R3 are the rows of the 3 x m matrix A). E₁ 0 1 0 1 0 E₂ Then the third row of E₂ E A is... . OR₁ + 2R3 R₂ + 2R3 O R₁ + 2R₂ R3+2R₁ and A

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.2: Addition And Subtraction Of Matrices
Problem 13E
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Suppose that
01 0
0
0
1 0 0 E₂
1
0
Lo 0
0
2 1
(where R₁, R₂ and R3 are the rows of the 3 x m matrix A).
Then the third row of E₂ E₁ A is ...
E₁ =
R₁ + 2R3
R₂ + 2R3
R₁ + 2R₂
R3 + 2R₁
5
=
1
R₁
and A = R₂
0
"
Transcribed Image Text:Suppose that 01 0 0 0 1 0 0 E₂ 1 0 Lo 0 0 2 1 (where R₁, R₂ and R3 are the rows of the 3 x m matrix A). Then the third row of E₂ E₁ A is ... E₁ = R₁ + 2R3 R₂ + 2R3 R₁ + 2R₂ R3 + 2R₁ 5 = 1 R₁ and A = R₂ 0 "
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