3. Consider the linear transformations T: R² → R² and S: R² → R² defined by "(E)-H *(E)-L |2x2 X2 S x2 %3D T 3.x1 3.x2 Find T-1 and S-1. Using your answers, write a formula for (TS)-1.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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3. Consider the linear transformations T : R² → R² and S: R² → R² defined by
[2x2
S
3x1
(E)-L.
x2
(E)-E
X1
T
x2
3.x2
x2
Find T-1 and S-'. Using your answers, write a formula for (TS)-'.
Transcribed Image Text:3. Consider the linear transformations T : R² → R² and S: R² → R² defined by [2x2 S 3x1 (E)-L. x2 (E)-E X1 T x2 3.x2 x2 Find T-1 and S-'. Using your answers, write a formula for (TS)-'.
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