1. Ak 1-k-k 0 kk +1 10 1 Where k = 2323232. Then: a) Ak is invertible. b) Det Ak=k. Σιλικ M c) whenre d) Ak is diagonalizable. Justify All a), b), c), d) are the eigenvalues of Ak

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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1.
Ak
1-k -k
0 kk +1
10 1
Where k = 2323232. Then:
a) Ak is invertible.
b) Det Ak = k.
Σιλ. = κ
c)
whenre
d) Ak is diagonalizable.
Justify All a), b), c), d)
are the eigenvalues of Ak.
Transcribed Image Text:1. Ak 1-k -k 0 kk +1 10 1 Where k = 2323232. Then: a) Ak is invertible. b) Det Ak = k. Σιλ. = κ c) whenre d) Ak is diagonalizable. Justify All a), b), c), d) are the eigenvalues of Ak.
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