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.

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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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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