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

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