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An n x n 1 0 5 -2 0 0 2 It might help to remember how to define the determinant in terms of cofactors. upper-triangular matrix has 0 entries everywhere below the leading diagonal (so is a 3 x 3 example). Show that the eigenvalues are the diagonal elements. -2 3

An n x n 1 0 5 -2 0 0 2 It might help to remember how to define the determinant in terms of cofactors. upper-triangular matrix has 0 entries everywhere below the leading diagonal (so is a 3 x 3 example). Show that the eigenvalues are the diagonal elements. -2 3

Advanced Engineering Mathematics
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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5. An n x n upper-triangular matrix has 0 entries everywhere below the leading diagonal (so 1 -2 3 0 5 is a 3 x 3 example). Show that the eigenvalues are the diagonal elements. 0 0 2 It might help to remember how to define the determinant in terms of cofactors. -2
Transcribed Image Text:5. An n x n upper-triangular matrix has 0 entries everywhere below the leading diagonal (so 1 -2 3 0 5 is a 3 x 3 example). Show that the eigenvalues are the diagonal elements. 0 0 2 It might help to remember how to define the determinant in terms of cofactors. -2
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