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In Exercises 1-3, use column operations to reduce the given matrix A to lower-triangular form. Find the deter- minant of A.[01 37 1. A = 24 - N NON 3. A =In Exercises 46, use column operations to reduce the given matrix A to the identity matrix. Find the determi- nant of A. 0-2 5. A =7. Let A and B be (3 x3) matrices such that det(A) = 2 and det(B = 3. Find the value of each of the following. a) det( AB b) det(AB2 ) c) det(A B) d) det(2A-) e) det(24)-18. Show that the matrices sin c036 2 sin 6 cos 6 . . and cos 6 5m 6 3 cos 9 SIM? 0 O 1 are nonsingular for all values of 6