(a) Find the SVD form of the matrix [1.2 0.9 -4 A = 1.6 1.2 3 (b) Use the SVD to determine the pseudo inverse A and confirm it is a right inverse of A. (c) Determine the pseudo inverse A¹ without using the SVD.

Find the inverse of the matrix A = A-1 ab = (²24) 3). sin (a) f di an B Pa

Determine the inverse of the A3 matrix using the counter method

Find the inverse of the matrix A using the theorem, A-1 = 1/det(A) * adj(A)

Use Mathematica

a C A =| 0 b с a b 0

(b) Let A be a 2 x 2 matrix and a be a real number. Prove that det (a A) = ² det (A)

A firm's total revenue function takes the form cQ2 + dQ. It is known that TR = 402 when Q = 3 and TR = 1098 when Q = 9. (a) Show that this information may be expressed as Ax = b where x = [c, d]¹, b = [402, 1098] and A is a 2x2 matrix which should be stated. (b) Use the matrix inverse method to work out the values of c and d, and hence write down the demand equation. (a) The coefficient matrix is (b) c= -2, d = 140 and the demand equation is P=Q+

Determine the inverse of the A3 matrix using the gauss jordan method