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# tut9 - 1 = 1 det A 4 If det A = 3 and det B =-2 evaluate...

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Math 136 Tutorial 9 Problems 1: Find the determinant of the following matrices: a) A = 1 2 - 1 1 2 - 2 - 2 3 1 2 0 1 3 - 6 - 3 1 , b) B = 1 2 3 4 - 1 1 - 2 - 1 2 1 2 1 - 1 1 3 1 2: Use Cramer’s rule to solve x 1 - 5 x 2 - 2 x 3 = - 2 2 x 1 + 3 x 3 = 3 4 x 1 + x 2 - x 3 = 1 3: Prove that det
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Unformatted text preview: 1 = 1 det A . 4: If det A = 3 and det B =-2 evaluate det( A T B 3 A-1 ). 5: Find all the eigenvalues and corresponding eigenvectors of 2 2 2 2 2 2 2 2 2 . 1...
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