6. Write a Python program to solve the following system of linear equations. 4w+x+2y-3z = -16 -3w+ 3x - y + 4 z = 20 w + 2x+5y + z = -4 5w+4x+3y - z = -10 Find the solution for w, x, y and z. Note: You need to construct a matrix A and b as follow. Then the solution will be A^(-1) b 4 1 2-31 -161 -3 3 -1 4 20 A= 1 2 5 1 -4 543-1 -10- 7. Solve the following system of linear equations using the same method used in question 6. x1 + x2 x3 + x4 = 1 2x + 2x2 - x3 + x4 = 0 4x1 - x2 + 2x3 + 5x4 = 3 x + 1.5x2 2.7x3 + 0.5x4 = 0.5