Find the examples that satisfy the statement in the given items and show some work how they are correct examples (a) A 4 x 4 matrices A that is not digonalizable. (b) (c) Two matrices A and B that have the same characteristic polynomial but are not similar. Two diagonal matrices D₁ and D2 that are similar but they are not equal.
Find the examples that satisfy the statement in the given items and show some work how they are correct examples (a) A 4 x 4 matrices A that is not digonalizable. (b) (c) Two matrices A and B that have the same characteristic polynomial but are not similar. Two diagonal matrices D₁ and D2 that are similar but they are not equal.
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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Find the examples that satisfy the statement in the given items and show some
work how they are correct examples
(a)
A 4 x 4 matrices A that is not digonalizable.
(b)
(c)
Two matrices A and B that have the same characteristic polynomial but are
not similar.
Two diagonal matrices D₁ and D₂ that are similar but they are not equal.
(d)
Two similar matrices A and B such that A is orthogonally digonalizable but
B is not orthogonally diagonalizable.
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