s this correct?  Is it because of the zero row when reducing to row reduced echelon form? Because I thought it was based off the non zero rows. Where am I getting confused? (At this point, I haven't learned about rank and nullity yet.)

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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Why is this correct?  Is it because of the zero row when reducing to row reduced echelon form?

Because I thought it was based off the non zero rows. Where am I getting confused? (At this point, I haven't learned about rank and nullity yet.)

Let T₁: R³ → R³ be multiplication by A and find the dimension of the subspace of R³ consisting of all vectors x for which T₁(x) = 0.
-
a) A
Your answer is correct.
= 106
106
OOOO
The dimension is
0
P
2
Transcribed Image Text:Let T₁: R³ → R³ be multiplication by A and find the dimension of the subspace of R³ consisting of all vectors x for which T₁(x) = 0. - a) A Your answer is correct. = 106 106 OOOO The dimension is 0 P 2
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