405q3 - MATH 405: Quiz 3 Name: September 29, 2006 1. Given...

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Unformatted text preview: MATH 405: Quiz 3 Name: September 29, 2006 1. Given the matrix: 1 0 A= -3 -2 0 6 find the rank of A, define its column space, and give a basis for the column space. 2. Consider B to be a real 3 3 matrix. Show that the eigenvalues of B are either real, or if complex then they come in complex conjugate pairs - meaning that if is an eigenvalue and is complex, then must also be an eigenvalue. ...
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