Determine h and k if possible such that the following system

Determine h and k, if possible, such that the following system has (i) no solutions, (ii) a unique solution, and (iii) infinitely solutions. x + 6y = k 2x + hy = 14 Find a 2 * 2 matrix, A, that satisfies the following equation. [8 -2 -3 -1]A = [1 0 0 1] Is the matrix A = [cos(theta) sin(theta) 0 -sin(theta) cos(theta) 0 0 0 1] invertible for all values of theta Explain.