A 3 by 3 matrix B is known to have eigenvalues 0, 1,2. This information is enough to

Chapter 6, Problem 19

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A 3 by 3 matrix B is known to have eigenvalues 0, 1,2. This information is enough to find three of these (give the answers where possible) : (a) the rank of B (b) the determinant of BT B (c) the eigenvalues of BT B (d) the eigenvalues of (B2 + /)-

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