(c) Find a generalised inverse of each of the following matrices: () PAQ, when P and Q are nonsingular. (ii) GA, whe...
2. (a) Consider the following matrices: A = [ 8 −6, 7 1] , B = [
3 −5, 4 −7] C = [ 3 2 −1 ,−3 3 2, 5 −4 −3 ]
(i) Calculate A + B,
(ii) Calculate AB
(iii) Calculate the inverse of B,
(iv) Calculate the determinant of C.
(b) The points P, Q and R have co-ordinates (2, 2, 1), (4, 1, 2)
and (5, −1, 4) respectively.
(i) Show that P Q~ =...
c) The demand function for books in Pick n Pay is given by P quantity demanded and P is the price per book. 50-0.3Q, where Q is the i. Find the number of books that will be bought when the price is K2. ii. iii. Find the price elasticity of the demand when the number of books bought is 30. ] Calculate the percentage change in quantity demanded when the price increases by 10% (use the coefficient price elasticity of...