Unformatted text preview: 4 Prove that if A and B are similar matrices, then A is invertible if and only if B is invertible. 5 Let A,B be n × n orthogonal matrices. Show that A ( A T + B T ) B = A + B and use the identity to prove that if det( A ) + det( B ) = 0, then A + B is not invertible....
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 Fall '08
 Staff
 Math, Linear Algebra, Matrices, Singular value decomposition, Orthogonal matrix, corresponding eigenvalue

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