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Kunze Linear Algebra
· Problem 7.3.6
Rational and Jordan Forms
Mathematics — Methods · jordan-form
Problem
Let
A
A
A
be the complex matrix
[
2
0
0
0
0
0
1
2
0
0
0
0
−
1
0
2
0
0
0
0
1
0
2
0
0
1
1
1
1
2
0
0
0
0
0
1
−
1
]
.
\begin{bmatrix} 2 & 0 & 0 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ -1 & 0 & 2 & 0 & 0 & 0 \\ 0 & 1 & 0 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 \\ 0 & 0 & 0 & 0 & 1 & -1 \end{bmatrix}.
2
1
−
1
0
1
0
0
2
0
1
1
0
0
0
2
0
1
0
0
0
0
2
1
0
0
0
0
0
2
1
0
0
0
0
0
−
1
.
Find the Jordan form for
A
A
A
.
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