Let a be a scalar and A - Answer Question 1, 2 and 2 1. Find det( 4). 2. Determine all values of a for which A b Invertible. 3. Can you determine how many solutions there are to the system .Ar - Of If so, find the solution art. If not, explain why. Consider the matrix -1 B - 0 1 Answer Question 4 and 5. 4. Find det ( B). 6. Solve BF - 6. G. Let c-:.- 100la 4d 100b +2 1003+ d - 39 1 - 31 If dot (() - 2, find det (D). 7. Let A be a scalar and -2 -1 E- 1 -1 Find det(E). Let M. N be 3 x 3 matrices with dot ( M) - 2 and det (N) = 3, and let -2 K - Answer Question 8, 9 and 10. 8. Find det(24). 9. Find det (M -NIK ). 10. Find det (M-'N-')