Write the following simultaneous equations as a matrix equation of the form Ax=b,clearly identifying A, x and b: 3 x-4 y+z=1 x \quad-z=3 x-y+z=0 (b) Find the inverse of the

matrix found in part (a) and use it to solve the equations tofind the values of x, y and z.[5 marks] (c) Find the composite transformation matrix that first reflects an object in the y-axisand then applies a shear in the x-direction of TT/4 radians. \text { (d) Determine the eigenvalues and corresponding eigenvectors of the matrix }\left[\begin{array}{ll} 2 & 1 \\ 4 & 5 \end{array}\right] \text {. }