M-221 Quiz: Montana State MATH 221 quiz3

Let A = [-1 1 1 2 0 1 1 3 -2]. Find det(A). Find det(3/2 A^3). Find det(A^-1).

Consider the system of equations A[x y z] = [1 0 1], where A is a 3 times 3 matrix with det A = 2, det A(1) = 8, det A(2) = 6 and det A(3) = 10. Using Cramer's Rule, what is the value of y? 2 3 4 5 0 If A = [1 2 1 1 1 2 1 -1 3] and [c_ij] = Adj A, find c_12. -1 1

If A and B are 3 times 3 matrices, det(A) = 1, det(5) = det (AB) = det (-2A) = det(B^-1) = det(B^3) =