Let A be an n à n matrix such that its characteristic polynomial is Where the λ
Question:
Where the λ are distinct
(a) Explain why
(b) If the λi are not distinct but A is diagonalizable, would the same property hold? Explain.
Transcribed Image Text:
IA - Al| = (A – d)(A - A2) --- (A - A,).
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A is an n n matrix with A I 1 2 n where all the i ...View the full answer
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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