0 1 3. (a) Show that the matrices E, =| E, 0 0 E, 1 0 are linearly %3D -1 independent. 2 -9 3 (b) Decide if matrices A =| are in the span{E,,E,, E,}. 9 -2 В 1 3

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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0 1
3. (a) Show that the matrices E, =|
E,
0 0
E,
1 0
are linearly
%3D
-1
independent.
2 -9
3
(b) Decide if matrices A =|
are in the span{E,,E,, E,}.
9 -2
В
1
3
Transcribed Image Text:0 1 3. (a) Show that the matrices E, =| E, 0 0 E, 1 0 are linearly %3D -1 independent. 2 -9 3 (b) Decide if matrices A =| are in the span{E,,E,, E,}. 9 -2 В 1 3
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