Let V be the subspace of RS with basis B = {V1, V2, V3, V4}, where j = −e₁ + ej+1 for j = 1, ..., 4, and let T:V→ V be the linear map given by T(v) = Av where 1 2405 A = 3 5 90 10 2040 33 55 -5 4 205 5110 10 Find the matrix form M = [T]B of T in basis B.
Let V be the subspace of RS with basis B = {V1, V2, V3, V4}, where j = −e₁ + ej+1 for j = 1, ..., 4, and let T:V→ V be the linear map given by T(v) = Av where 1 2405 A = 3 5 90 10 2040 33 55 -5 4 205 5110 10 Find the matrix form M = [T]B of T in basis B.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let V be the subspace of RS with basis
B = {V1, V2, V3, V4}, where
j = −e₁ + ej+1 for j = 1, ..., 4, and let
T:V→ V be the linear map given by
T(v) = Av where
1
2405
A = 3
5 90 10
2040
33 55 -5
4 205
5110
10
Find the matrix form M = [T]B of T in
basis B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43b86c1c-5170-43d4-8dc1-36febd6bd637%2F43ac3a42-fe72-4102-af1a-d58ed9d2c584%2Fk33pczj_processed.png&w=3840&q=75)
Transcribed Image Text:Let V be the subspace of RS with basis
B = {V1, V2, V3, V4}, where
j = −e₁ + ej+1 for j = 1, ..., 4, and let
T:V→ V be the linear map given by
T(v) = Av where
1
2405
A = 3
5 90 10
2040
33 55 -5
4 205
5110
10
Find the matrix form M = [T]B of T in
basis B.
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