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Unformatted text preview: A ? 3 (15 points). Suppose S is a 2 n × 2 n matrix: S = b I n A O I n B where I n is the n × n identity matrix and A is an n × n matrix. Determine the block form of S1 . 4 (10 points). If A is an n × n nonsingular matrix satisfying A 2 = A , show that A = I n . 1 5. Given the matrix A : A = b 0 1 1 0 B (1) (15 points). Find the eigenvalues and all corresponding eigenspaces of the matrix A . (2) (10 points). factor the matrix A into a product XDX1 , where D is a diagonal matrix. 2...
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 Spring '10
 DONALDSON,NEIL
 Linear Algebra, Matrices, Invertible matrix, Identity matrix, coefficient matrix

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