Let A be a diagonalisable n x n matrix with eigenvalues A1, 2, · · , An Prove that det(A) did2 · . · An the product of the eigenvalues. ...
Let A be a diagonalisable n x n matrix with eigenvalues A1, 2, · · , An Prove that det(A) did2 · . · An the product of the eigenvalues. ...
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 A be a diagonalisable n x n matrix with eigenvalues A1, 2, · · , An Prove that det(A) =
Aid2 . . An the product of the eigenvalues.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabc5aa9d-951a-40e1-86a3-f092042c4046%2F765eff6c-fac4-4360-b5f1-bcf8bb3e4bc7%2Fl8win2c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A be a diagonalisable n x n matrix with eigenvalues A1, 2, · · , An Prove that det(A) =
Aid2 . . An the product of the eigenvalues.
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