Suppose that T: R³ R4 is a linear transformation such that 2 T = and T *([1]) - B (ED). 6 Use this information to compute the vector T -2 -8 2 (O)-B = 4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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Auswer
6
Since-2 = 4
-8
linearity of T gives
2
1
2 3 (which you can discover using an augmented matrix calculation),
2
6
6
~(Q)--(C)--)-
T -2 = 4T
2T
=
-4
-4
-8
12
Transcribed Image Text:Auswer 6 Since-2 = 4 -8 linearity of T gives 2 1 2 3 (which you can discover using an augmented matrix calculation), 2 6 6 ~(Q)--(C)--)- T -2 = 4T 2T = -4 -4 -8 12
Suppose that T: R³ R4 is a linear transformation such that
2
T
and T
*((1)) - B
(ED).
6
Use this information to compute the vector T
-2
-8
2
(O)-F
= 4
Transcribed Image Text:Suppose that T: R³ R4 is a linear transformation such that 2 T and T *((1)) - B (ED). 6 Use this information to compute the vector T -2 -8 2 (O)-F = 4
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