Hint you would do this by Gaussian Elimination on: [1 0 11 001 | 1 2 1 0 1 0 li 1 210 0 1] Question No. 5 [-1 2 -1] (1 O 11 Given that the matrix A = 0 -1 1 and its inverse matrix, is A = 2 111 [2-2 1 [2 2 1 Find the equation of the plane through the three points: (-1,2, -1), (0, -1, 1) and (2,-2, 1). Hint: Note the plane takes the form of ax + by + cz = d Fill the points, in turn into this equation, so that: (-1, 2, -1) gives -a + 2b – C= d (0, -1, 1) gives -b+c= d (2,-2, 1) gives 2a – 2b + c = 0 Question No. 6 (a) Consider a milk-dispensing machine, where the average amount of m dispensed is 500ml, and the standard deviation is 1.5ml; nmnlod what is the probability tha