(1) ( ) Decide if the following matrices are diagonalizable: = 2 0 1 0 0-1 00 5 1 0 0 0510 B = 1 0 20 0051 0 −1 01 0005 Give details of your calculation (characteristic polynomial, eigenvalues, bases for eigenspaces, P and D if exist).

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(1) (
) Decide if the following matrices are diagonalizable:
=
2
0
1
0
0-1
00
5 1 0 0
0510
B =
1
0
20
0051
0
−1
01
0005
Give details of your calculation (characteristic polynomial, eigenvalues, bases for
eigenspaces, P and D if exist).
Transcribed Image Text:(1) ( ) Decide if the following matrices are diagonalizable: = 2 0 1 0 0-1 00 5 1 0 0 0510 B = 1 0 20 0051 0 −1 01 0005 Give details of your calculation (characteristic polynomial, eigenvalues, bases for eigenspaces, P and D if exist).
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