Let T : M2,2 → M2,2 be a linear transformation and suppose that: 0 2 -2 0 -1 3 T ¹ ([1]) - [²²], ¹([8]) = [], = 0 0 1 00 0 1 00 3 6 00 64 T ([i]) = [² _i] ([i]) = [88] T 1 0 7 -1 0 1 5 Compute T ( 4 -3 0 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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Let T: M2,2 → M2,2 be a linear transformation and
-2
1
] ¹ ( [])-[1]
T
0
0
that:
10
¹ ([8]) - [ ²
T
=
00
T
¹([ 8 ] - [
00
10
=
Compute T
4
([3
0
-
3 6
7 -1
-
0
³]).
1
0
3
64
] ¹ ([ 8 ]) - [88]
T
00
1
0
50
suppose
Transcribed Image Text:Let T: M2,2 → M2,2 be a linear transformation and -2 1 ] ¹ ( [])-[1] T 0 0 that: 10 ¹ ([8]) - [ ² T = 00 T ¹([ 8 ] - [ 00 10 = Compute T 4 ([3 0 - 3 6 7 -1 - 0 ³]). 1 0 3 64 ] ¹ ([ 8 ]) - [88] T 00 1 0 50 suppose
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