Classify the following matrices: a) b) d) [ -2 6 9 32 -40 -206 63 242 -123 -636 194 -216-1095 335 413 1408 -734-3724 1139 76 ·[3 c) 77 264 430 1476 -1 -3 1 -9-18 6 -9-30 9 -32 -96 29 -38 -204 62 -127 -672 204 -206 -1101 334 -706 -3768 1143 -17 5 27 -8 -44 11 82 -24 -71 23 130 -39 -243 78 454 -136 de acordo a las cimiento oncionce. according to the following options: 1) Diagonalizable 2) Not diagonalizable: the characteristic polynomial has a complex root. 3) Non-diagonalizable: all eigenvalues are real, but there is one where the algebraic and geometric multiplicities are different.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Classify the following matrices:
a)
b)
d)
[
-2
6
9
32
-40 -206 63
242 -123 -636 194
-216-1095
335
413
1408
-734-3724 1139
76
·[3
c)
-1 -3 1
-9-18 6
-9-30 9
-32 -96 29
-38 -204 62
77
264
-127 -672 204
430 -206 -1101 334
-706 -3768 1143
1476
-17 5 27 -8
-44 11 82
-24
-71 23 130
-39
-243 78 454 -136
de acordo a las cimiento oncionce.
according to the following options:
1) Diagonalizable
2) Not diagonalizable: the
characteristic polynomial has
a complex root.
3) Non-diagonalizable: all
eigenvalues are
real, but there is one where the
algebraic and geometric
multiplicities are different.
Transcribed Image Text:Classify the following matrices: a) b) d) [ -2 6 9 32 -40 -206 63 242 -123 -636 194 -216-1095 335 413 1408 -734-3724 1139 76 ·[3 c) -1 -3 1 -9-18 6 -9-30 9 -32 -96 29 -38 -204 62 77 264 -127 -672 204 430 -206 -1101 334 -706 -3768 1143 1476 -17 5 27 -8 -44 11 82 -24 -71 23 130 -39 -243 78 454 -136 de acordo a las cimiento oncionce. according to the following options: 1) Diagonalizable 2) Not diagonalizable: the characteristic polynomial has a complex root. 3) Non-diagonalizable: all eigenvalues are real, but there is one where the algebraic and geometric multiplicities are different.
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