Let A = 16 8 14 8 -8 -32 -18, Suppose that we have the information that the following vectors are eigenvectors of A. v² = · - ( ) - ~ - (9) -~ - (1) = v² 1 Can we conclude that A is diagonalizable? Justify your answer. شروح و

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Let
A = =
Suppose that we have the information that the following vectors are
eigenvectors of A.
v²
16
4
14
8
-8 -32 -18,
·-·----- ()
=
Can we conclude that A is diagonalizable? Justify your answer.
=
Transcribed Image Text:5. Let A = = Suppose that we have the information that the following vectors are eigenvectors of A. v² 16 4 14 8 -8 -32 -18, ·-·----- () = Can we conclude that A is diagonalizable? Justify your answer. =
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