Math 205a Quiz Worksheet - 2008
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1
2Math 205A
Quiz 08 page 1
November 21, 2008
NAME
6
0
1
1. Let A =
2 4
1
; then A is diagonalizable and has only two eigenvalues, 4 and 5. Find
2 0
3
matrices P and D which represent a diagonalization of A. Even though only one of them is used in the
1
1
diagonalization, find both P
and D
.
2
0
1
1 0 1/2
You may find it useful that
2 0
1
is row equivalent to
0 0
0
, and
2 0
1
0 0
0
1 0
1
1
0
1
0 1
1
is row equivalent to
2
1
1
0 0
0
2
0
2
Show all your work.
1
1
P =
P
=
D=
D
=
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