(a) Consider the linear algebraic equation Ax=b where A is a known (mxn) matrix, b+0 is a known (m×1) vector and the (n×1) vector x is unknown. In this case, the determinant of the matrix A is equal to zero: det(A)=0. Discuss the possible solutions to this system of equations. Your answer should make reference to the role of the rank of a matrix, the augmented matrix and, where appropriate, a pseudo-inverse. (b) Consider the set of simultaneous linear equations given by x+2x2-x=2 2x+5x+2x=-1 7x, +17x, +5x=-1 Determine all possible solutions of this system of equations. (10 marks) (10 marks)