5. Give an example of a linear transformation T from a complex polynomial vector space P to a complex matrix vector space M. Explain the example that you have chosen. 6. Let a11 a12 a13 [b11 b12 b13] A=a21 022 023 and B=b21 b22 623 b31 b32 b33 a31 a32 a33 By using pemutation approach, show that det (AB) = det(A) det (B).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 11CM
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5. Give an example of a linear transformation T from a complex polynomial
vector space P to a complex matrix vector space M. Explain the example
that you have chosen.
6. Let
a11 a12 a13
[b11 b12 b13]
A=a21 a22 023 and Bb21 22 23
631 632 633
a31 a32 033
By using pemutation approach, show that det (AB) = det(A) det (B).
Transcribed Image Text:5. Give an example of a linear transformation T from a complex polynomial vector space P to a complex matrix vector space M. Explain the example that you have chosen. 6. Let a11 a12 a13 [b11 b12 b13] A=a21 a22 023 and Bb21 22 23 631 632 633 a31 a32 033 By using pemutation approach, show that det (AB) = det(A) det (B).
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