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Elementary Linear Algebra (MindTap Course List)
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 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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(a) Find the linear transformation T: 1R3 —> 1R3 if:
T(1, 1,1)=(1,2,3), T(0,1,1)=(2,3,4), T(0,0, 1) =(3,4, 5)-
TL"
(b) Let T1: R2 -—+ [W be the rotation operator through E.
Find the standard matrix of T1.

 

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(a) Find the linear transformation T: R³ R³ if: T(1, 1, 1) = (1,2, 3), T(0, 1, 1) = (2, 3, 4), T(0, 0, 1) = (3, 4, 5). TT (b) Let T₁: R² → R² be the rotation operator through 2 Find the standard matrix of T₁. .
Transcribed Image Text:(a) Find the linear transformation T: R³ R³ if: T(1, 1, 1) = (1,2, 3), T(0, 1, 1) = (2, 3, 4), T(0, 0, 1) = (3, 4, 5). TT (b) Let T₁: R² → R² be the rotation operator through 2 Find the standard matrix of T₁. .
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