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12 Nov 2019
True or false: Why? If 0 is an eigenvalue of an n times n matrix A, then the equation has a solution for all be . If n times n matrices A and B are similar, then they have the same eigenvalues. The characteristic polynomial of a 2times2 matrix A is given by , where is the sum of the diagonal entries of A. If an n times n matrix has an eigenvalue with multiplicity 2 or more, then that matrix is not diagonalizable. let be a subspace of with a basis of {v1, v2, ,vn}. Then If the vector is perpendicular to and is perpendicular to then is perpendicular to .
True or false: Why? If 0 is an eigenvalue of an n times n matrix A, then the equation has a solution for all be . If n times n matrices A and B are similar, then they have the same eigenvalues. The characteristic polynomial of a 2times2 matrix A is given by , where is the sum of the diagonal entries of A. If an n times n matrix has an eigenvalue with multiplicity 2 or more, then that matrix is not diagonalizable. let be a subspace of with a basis of {v1, v2, ,vn}. Then If the vector is perpendicular to and is perpendicular to then is perpendicular to .