Let TA:R R' be multiplication by A and find the dimension of the subspace of R' consisting of all vectors x for which T,(x) 10 a) A =1 0 4 [1 0 4. The dimension is O 2 O 3 0 1 17 0 b) A = 170 The dimension is O 2 O 3 0 1 0 0 -1 1 c) A !! 111 The dimension is O 2
Let TA:R R' be multiplication by A and find the dimension of the subspace of R' consisting of all vectors x for which T,(x) 10 a) A =1 0 4 [1 0 4. The dimension is O 2 O 3 0 1 17 0 b) A = 170 The dimension is O 2 O 3 0 1 0 0 -1 1 c) A !! 111 The dimension is O 2
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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![Let T:R - R be multiplication by A and find the dimension of the subspace of R consisting of all vectors x for which T, (x)
1 10
a) A =
104
1 04
The dimension is
O 2
0 3
O 1
1 7 0
b) A =1 7 0
170
The dimension is
O 2
O 3
0 1
c) A =-1 10
1 1
The dimension is
O 2
O 1
O 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F080b5c0e-ffcb-4ace-82d3-1f50cc9b6c52%2F3cc71290-7c11-4756-a7db-cd2eb2eb9d61%2Ft7b2j52_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T:R - R be multiplication by A and find the dimension of the subspace of R consisting of all vectors x for which T, (x)
1 10
a) A =
104
1 04
The dimension is
O 2
0 3
O 1
1 7 0
b) A =1 7 0
170
The dimension is
O 2
O 3
0 1
c) A =-1 10
1 1
The dimension is
O 2
O 1
O 3
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