Which of the following statements is(are) true if
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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Question
Which of the following statements is(are) true if
Transcribed Image Text:A is an n x n matrix
(a) If A is a triangular matrix then A has a distinct eigenvalue
(b) If Ax = 2x for some vector x, then λ is an eigenvalue of A
(c) If Ax
=
λx for some scalar 2, then x is an eigenvector of A
O
(d) If A² is the zero zero matrix, then the only eigenvalue of A is zero
All of the above
O None of the above
Statements a, b, and d
Statements a, c, and d
Statements a, and d
Statements a and c
Statements b and c
Statements c and d
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