[1 0 0 1 -2 2r – 4 |0 15. Consider the matrix A where r is a constant. | 1 -r + 2 The values ofr for which A is diagonalizable are
[1 0 0 1 -2 2r – 4 |0 15. Consider the matrix A where r is a constant. | 1 -r + 2 The values ofr for which A is diagonalizable are
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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Transcribed Image Text:1
15. Consider the matrix A = |1 -2 2r – 4
where r is a constant.
1
-r + 2
The values of r for which A is diagonalizable are
(A) r ER\ {0, -1}
(B) r E R \ {–1}
(C) r E R \ {0}
(D) r E R \ {0,1}
(E) r E R \ {1}
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