3. Consider the linear transformations T : R² → R² and S: R? → R² defined by 7 (E)-E :(E)-L] [2x2 X2 T S 3x2] X1 Find T-1 and S-'. 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: R? → R² defined by
7 (E)-E :(E)-L]
[2x2
X2
T
S
3x2]
X1
Find T-1 and S-'. Using your answers, write a formula for (TS)-1.
Transcribed Image Text:3. Consider the linear transformations T : R² → R² and S: R? → R² defined by 7 (E)-E :(E)-L] [2x2 X2 T S 3x2] X1 Find T-1 and S-'. Using your answers, write a formula for (TS)-1.
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