Exercise 6.4.24: Let U=X € M44 10 1 1 00 0 0 1 1 001 1 (a) Show that U is a subspace of M4,4. (b) Determine the dimension of U. Justify your answer. X [0000 000 0 0 00 0 000 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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Exercise 6.4.24:
Let
v=fxesti|
U = X € M44
0
0
0 0 1
00 1
0
1
1
(a) Show that U is a subspace of M4,4.
(b) Determine the dimension of U. Justify your answer.
X =
го о
0 0
0 0 0 0
000 0
0 00 0
Transcribed Image Text:Exercise 6.4.24: Let v=fxesti| U = X € M44 0 0 0 0 1 00 1 0 1 1 (a) Show that U is a subspace of M4,4. (b) Determine the dimension of U. Justify your answer. X = го о 0 0 0 0 0 0 000 0 0 00 0
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