Please answer and include matlab code

(By Hand) Here are three facts: i. If B and C are square matrices, then | det (BC)| = | det(B) | | det(C)|. ii. The absolute value of the determinant of a unitary (orthogonal in real arith- metic) matrix is 1.iii The determinant of a diagonal matrix is the product of the diagonal entries. Use these three facts to show that if A E Rm\" (square matrix), then Idet(A]| = 11:1:101": where on; is the ith singular value. In other words, the absolute value of the determinant of a square matrix is the product of its singular values. 3) (By Hand) COmpute the singular value decomposition, i.e., find U, S and V, for the following matrix: 1 1 A 2 [2 2 ] . Note that A is singular, so you should expect at least one of the singular values to be zero