1. Consider the inner product space R2, which is equipped with the stan-dard inner product. The matrix of the linear transformation T hasmatrix A in the basis (a1, a2), where-5 0Aand a1 =(4, –3), a2:(-2,0). Give the matrix of the adjoint of Trespect to this basis.

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1. Consider the inner product space R?, which is equipped with the stan- dard inner product. matrix A in the basis (a1, a2), where The matrix of the linear transformation t has A - ( ) -5 0 3 2 and aj = (4, -3), a2 = (-2,0). Give the matrix of the adjoint of T respect to this basis.

1. Consider the inner product space R?, which is equipped with the stan- dard inner product. matrix A in the basis (a1, a2), where The matrix of the linear transformation t has A - ( ) -5 0 3 2 and aj = (4, -3), a2 = (-2,0). Give the matrix of the adjoint of T respect to this 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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Question

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1. Consider the inner product space R2, which is equipped with the stan-
dard inner product. The matrix of the linear transformation T has
matrix A in the basis (a1, a2), where
-5 0
A
and a1 =
(4, –3), a2
:(-2,0). Give the matrix of the adjoint of T
respect to this basis.

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