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13 Nov 2019
I. Let M be an n x n matrix and VE Rn be non-zero. Prove that if Me = 0, then M is not invertible 2. Explain why the roots of the characteristic polynomial of a matrix A are the eigenvalues of A. 3. Prove that if 0 is an eigenvalue of A, then A is not invertible.
I. Let M be an n x n matrix and VE Rn be non-zero. Prove that if Me = 0, then M is not invertible 2. Explain why the roots of the characteristic polynomial of a matrix A are the eigenvalues of A. 3. Prove that if 0 is an eigenvalue of A, then A is not invertible.
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Nestor RutherfordLv2
11 Jun 2019