Consider the matrix B = = the matrix B? 0 0 0 1 1 0 Which of the following represents a diagonalisation

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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Question
Consider the matrix B
=
the matrix B?
O
B
1
0
0 -1
1 0
B: 0 -1 1
B
0
1
1 1
1
B: 0 -1
1
1
0
-1
1
0
1
1
0
1
1
-11 0 0
0
0
1
0 1
0
-11 0 0
0 -1 0
0 0 1
-11
0
0
0 0
1
0
0
11
0
0 -1 0
0
0
J
1
-11
0
0 -1 0
0
0
1
0
36
1
Which of the following represents a diagonalisation of
0
2
1
2
2
0
1
2
1
2
1
2
0
1
2
1
1
2
1
2
1
2
1
1
2
1
1
2
1
Transcribed Image Text:Consider the matrix B = the matrix B? O B 1 0 0 -1 1 0 B: 0 -1 1 B 0 1 1 1 1 B: 0 -1 1 1 0 -1 1 0 1 1 0 1 1 -11 0 0 0 0 1 0 1 0 -11 0 0 0 -1 0 0 0 1 -11 0 0 0 0 1 0 0 11 0 0 -1 0 0 0 J 1 -11 0 0 -1 0 0 0 1 0 36 1 Which of the following represents a diagonalisation of 0 2 1 2 2 0 1 2 1 2 1 2 0 1 2 1 1 2 1 2 1 2 1 1 2 1 1 2 1
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