A is an n x n matrix.Check the true statements below:A. A number c is an eigenvalue of A if and only if the equation(A - cI)x= 0 has a nontrivial solution.B. To find the eigenvalues of A, reduceechelon form.C. If Ax = Xx for some vector x, then A is an eigenvalue of A.OD. Finding an eigenvector of A might be difficult, but checking whethegiven vector is in fact an eigenvector is easy.E. A matrix A is not invertible if and only if 0 is an eigenvalue of A.

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A is an n x n matrix. Check the true statements below: A. A number c is an eigenvalue of A if and only if the equation (A - cI)x= 0 has a nontrivial solution .. B. To find the eigenvalues of A, reduce chelon form. C. If Ax = Xx for some vector, then A is an eigenvalue of A. D. Finding an eigenvector of A might be difficult, but checking wheth given vector is in fact an eigenvector is easy. E. A matrix A is not invertible if and only if 0 is an eigenvalue of A.