Suppose W is a set of 2 x 2 matrices A with trace A = 0 , and is a subspace of M2,2 Consider the matrices a,b,c below: a = [ 0 1 0 0] b = [ 0 0 1 0 ] c = [ 1 0 0 -1] If Y = { matrix a , matrix b , matrix c} show that Span Y = W

Suppose W is a set of 2 x 2 matrices A with trace A = 0 , and is a subspace of M2,2 Consider the matrices a,b,c below: a = [ 0 1 0 0] b = [ 0 0 1 0 ] c = [ 1 0 0 -1] If Y = { matrix a , matrix b , matrix c} show that Span Y = W

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Suppose W is a set of 2 x 2 matrices A with trace A = 0 , and is a subspace of M_2,2

Consider the matrices a,b,c below:

a = [ 0 1
0 0]

b = [ 0 0
1 0 ]

c = [ 1 0
0 -1]

If Y = { matrix a , matrix b , matrix c}

show that Span Y = W

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