Let B = {B-[3]} and = {[14]-8} B' 3 Suppose that A = is the matrix representation of a linear operator T: R² → R² with respect to B. (a) Determine T(-5,5). (b) Find the transition matrix P from B' to B. (c) Using the matrix P, find the matrix representation of T with respect to B'.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 6E
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Let B =
(4)].8}
32
Suppose that A =
[82]
is the matrix representation
4
of a linear operator T: R² → R² with respect to B.
{Q.[3]}
and B' =
(a) Determine T(-5,5).
(b) Find the transition matrix P from B' to B.
(c) Using the matrix P, find the matrix representation of T with respect to B'.
Transcribed Image Text:Let B = (4)].8} 32 Suppose that A = [82] is the matrix representation 4 of a linear operator T: R² → R² with respect to B. {Q.[3]} and B' = (a) Determine T(-5,5). (b) Find the transition matrix P from B' to B. (c) Using the matrix P, find the matrix representation of T with respect to B'.
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