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Unformatted text preview: P = 1 3 5 , Q = 2 7 1 , R = 132 . 4. (25) The matrix A = 1 15 5 3 32 has characteristic polynomial 1 t ( ) 2 t ( ) 2 . a. Find all eigenvalues and eigenvectors of A . b. Either find an invertible matrix S and a diagonal matrix D with S1 AS = D or explain why no such S and D exist. Name Page 2 of 2 Math 1502C 10am Andrew Hour Test 3 Teaching Assistant 15 April 2004 Answers. 1. 2 5 2. a. No, they are linearly dependent. b. 3 3. 52 x + 7 y6 z =61 4. a. l = 1 , 12 1 and = 2 , 1 1 b. Since the eigenvalue 2 does not have 2 linearly independent eigenvalues, no such S and D exist. A is not diagonalizable....
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 Fall '07
 McClain
 Math

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