Linear Algebra T/F problem. Please answer all questions. I will give thumb up, thank you
. A is an n x n matrix. Mark each statement True or False. Justify each answer. i. If Ax ?? for some vectors, then ? is an eigenvalue of A ii. A matrix A is not invertible if and only if 0 is an eigenvalue of A iii. A number c is an eigenvalue of A if and only if the equation (A-c)x = 0 has a nontrivial solution. iv. Finding an eigenvector of A may be difficult, but checking whether a given vector is in fact an eigenvector is easy v. To find the eigenvalues of A, reduce A to echelon form.
