1. Let V = P1 and with bases -{(5)} W = -B -{(18)-(81)-(41)}. By = {x, 1}, Bw = 0 0 Consider TV → W defined by T(ax + b) = ( a -b a+b a + b). Compute the matrix representation [T]Bw.
1. Let V = P1 and with bases -{(5)} W = -B -{(18)-(81)-(41)}. By = {x, 1}, Bw = 0 0 Consider TV → W defined by T(ax + b) = ( a -b a+b a + b). Compute the matrix representation [T]Bw.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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![1.
Let V = P1 and
with bases
-{(5)}
W =
-B
-{(18)-(81)-(41)}.
By = {x, 1}, Bw
=
0
0
Consider TV → W defined by
T(ax + b) = (
a
-b a+b
a + b).
Compute the matrix representation [T]Bw.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9328926a-b343-4d47-8a00-cbd9e6e36ac2%2F3af62348-28fe-4547-9dfa-c4f9c6258e16%2F7qr8vkt_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Let V = P1 and
with bases
-{(5)}
W =
-B
-{(18)-(81)-(41)}.
By = {x, 1}, Bw
=
0
0
Consider TV → W defined by
T(ax + b) = (
a
-b a+b
a + b).
Compute the matrix representation [T]Bw.
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