3. Let {[ 1 2 -2 2 6 3 T = 3 4 5 1 -1 1 Determine whether T is linearly independent in the vector space M2.2(R) of all 2 × 2 matrices with coefficients in R.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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Question
3.
Let
1 2
-2 2
6
3
T
=
3 4
5
1
-1 1
Determine whether T is linearly independent in the vector space M2,2(R) of all 2 x 2 matrices
with coefficients in R.
Transcribed Image Text:3. Let 1 2 -2 2 6 3 T = 3 4 5 1 -1 1 Determine whether T is linearly independent in the vector space M2,2(R) of all 2 x 2 matrices with coefficients in R.
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