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Unformatted text preview: ven λ1=13.507, λ2=0.207, the third eigenvalue must be λ3=‐ 0.714. b. We know that the determinant of a matrix is the product of eigenvalues. Therefore, 3 det( A) i 2 i 1 Note that we did not have to calculate the eigenvalues or the determinant explicitly using the data in the matrix A. You could have done the problem without having the entries of A! 4. a. We know that AB and BA will have the same non‐zero eigenvalues. Since BA will be 4×4 matrix, it will have 4 eigenvalues. Therefore, eigenvalues of BA must be...
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This note was uploaded on 12/27/2011 for the course EEL 3105 taught by Professor Boykins during the Fall '10 term at University of Florida.

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