3. p(x) = −(x − 1)(x + 1)(x + 2022) the characteristic polynomial of 1 € M3x3(C). Then: a) A is diagonalizable. b) A²=0. c) The eigenvalues of A2022 are all different. d) A is not invertible. e) Justify All a), b), c), d)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. p(x) = −(x − 1)(x + 1)(x+2022) the characteristic polynomial of A € M3x3(C).
Then:
a) A is diagonalizable.
b) A²=0.
c) The eigenvalues of A2022 are all different.
d) A is not invertible.
e) Justify All a), b), c), d)
Transcribed Image Text:3. p(x) = −(x − 1)(x + 1)(x+2022) the characteristic polynomial of A € M3x3(C). Then: a) A is diagonalizable. b) A²=0. c) The eigenvalues of A2022 are all different. d) A is not invertible. e) Justify All a), b), c), d)
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