Let TA : R R' be multiplication by A and find the dimension of the subspace of R consisting of all vectors x for which TA(X) = 0. 1 0 a) A = 1 1 0 4 The dimension is O 2 O 3 O 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 23CM
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Let TA : R
R' be multiplication by A and find the dimension of the subspace of R³ consisting of all vectors x for which TA(x) = 0.
1 1
a) A =
1
1
0 4
The dimension is
O 2
O 3
O 1
Transcribed Image Text:Let TA : R R' be multiplication by A and find the dimension of the subspace of R³ consisting of all vectors x for which TA(x) = 0. 1 1 a) A = 1 1 0 4 The dimension is O 2 O 3 O 1
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