1 2 5. Let S = 0 0 statements is true? and consider the subset W = {A Є M22 | SA = AS}. Which one of the following A. W is not a subspace of M22 = 4 B. W is a subspace of M22, and dim W C. W is a subspace of M22, and dim W = 3 D. W is a subspace of M22, and dim W = 2 E. W is a subspace of M22, and dim W = 1 F. W is a subspace of M22, and dim W = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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Question
1
2
5. Let S =
0
0
statements is true?
and consider the subset W = {A Є M22 | SA = AS}. Which one of the following
A. W is not a subspace of M22
= 4
B. W is a subspace of M22, and dim W
C. W is a subspace of M22, and dim W = 3
D. W is a subspace of M22, and dim W = 2
E. W is a subspace of M22, and dim W = 1
F. W is a subspace of M22, and dim W = 0
Transcribed Image Text:1 2 5. Let S = 0 0 statements is true? and consider the subset W = {A Є M22 | SA = AS}. Which one of the following A. W is not a subspace of M22 = 4 B. W is a subspace of M22, and dim W C. W is a subspace of M22, and dim W = 3 D. W is a subspace of M22, and dim W = 2 E. W is a subspace of M22, and dim W = 1 F. W is a subspace of M22, and dim W = 0
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