A is an n x n matrix. Determine whether the statement below is true or false. Justify the answer: To find the eigenvalues of A, reduce A to echelon form O a. The statement is false. An echelon form of A displays the eigenvalues of a matrix A O b. The statement is true. An echelon form of a matrix A displays the eigenvalues on the main diagonal of A. O c. The statement is false. An echelon form of a matrix A usually does not display the eigenvalues of A. O d. The statement is true. An echelon form of a matrix A displays the eigenvalues as pivots of A. A is an n/ timesn matrix. Determine whether the statement below is true or false. Justify the answer. An eigenspace of A is a null space of a certain matrix. O a. The statement is false. An eigenspace of A is not a null space of a certain matrix because an eigenspace consists of all the eigenvectors corresponding to an eigenvalue A, and eigenvectors are by definition nonzero vectors, so the eigenspace does not include the zero vector. O b. The statement is true. An eigenspace of A corresponding to the eigenvalue ) is the null space of the matrix (A - XI ). O c. The statement is true. An eigenspace of A corresponding to the eigenvalue A is the null space of the matrix (AA - I). O d. The statement is false. An eigenspace of A is not a null space of a certain matrix because an eigenspace consists of all solutions : to the equation Ax = Ab, which does not include the zero vector unless b = 0