Please answer all questions clearly.

If A = -67 4 , then A-1 =If A = 8 then A-1 =Given the matrix IN 2 (a) does the inverse of the matrix exist? Choose v (b) if your answer is yes, enter the inverse of the matrix below.Find a 2 x 2 matrix such that =Consider the following two systems. (a) 4x + y at Ty = (b) 4x + y = 2 = -4 (i) Find the inverse of the (common) coefficient matrix of the two systems. A- = (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-1B where B represents the right hand side (i.e. B = 3 for system (a) and B = 24] for system (b)). Solution to system (a): x = Solution to system (b): x = y =6 6 Given the matrix 8 (a) does the inverse of the matrix exist? Your answer is (input Yes or No) : (b) if your answer is yes, write the inverse here:Solve the system of equations 5x + 3y = -11 3x + 2y = -7 by converting to a matrix equation and using the inverse of the coefficient matrix. T = y =5 If A = 0 1 then O O A =Find the inverse of the matrix 0 09 A = The inverse isFor what values 0ft: will A = I: For all c such that c g 1 {:2 1 be invertibie? at; and t: 75 1 Per what values 0ft: will A = [e For all e such that 6 31E 1 {:2 I be invertible? if. and e 79 If O o 5 A = WHO then A-1 =Solve for X. X =2 9 The matrix k is invertible if and only if k #Let 15 A = i co co HA = -19 C = O Find the inverses of A, B and C. A 1 = B 1 = C-1 =