A is an nxn matrix. Determine whether the statement below is true or false. Justify the answer. The eigenvalues of a matrix are on its main diagonal. Choose the correct answer below. O A. The statement is true. The eigenvalues of a matrix are on its main diagonal because the main diagonal determines the pivots of the matrix, which are used to calculate the eigenvalues. O B. The statement is true. The eigenvalues of a matrix are on its main diagonal because the main diagonal remains the same when the matrix is transposed, and a matrix and its transpose have the same eigenvalues. Oc. The statement is false. If the matrix is a triangular matrix, the values on the main diagonal are eigenvalues. Otherwise, the main diagonal may or may not contain eigenvalues. O D. The statement is false. The matrix must first be reduced to echelon form. The eigenvalues are on the main diagonal of the echelon form of the matrix.

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