Let V be the subspace of RS with basisB = {V1, V2, V3, V4}, wherej = −e₁ + ej+1 for j = 1, ..., 4, and letT:V→ V be the linear map given byT(v) = Av where12405A = 35 90 10204033 55 -54 205511010Find the matrix form M = [T]B of T inbasis B.

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Answered: Let V be the subspace of RS with basis…

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.