Math 205a Quiz 09 Worksheet - Bates College - 2008 Page 2
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1
2
5 6
6
2. Let A =
3 8
6
.
3 6
4
1
is an eigenvector of A. What is the corresponding eigenvalue? (An easy
2A. It’s a fact that
1
1
calculation)
2B. It’s also true that λ = 2 is an eigenvalue of A. If possible, find matrices P and D that show A is
diagonalizable, or explain why A is not diagonalizable. Show all your work.
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