7. a.) Consider the system of linear equations: Use an LU decomposition to solve the system of equations. [20 marks] b.) Consider . Is T, with the operations of addition and scalar multiplication as traditionally defined, a subspace of R?? [15 marks] 8. a.) Given the system of linear equations: Find the values of x, y and z using Gauss-Jordan Elimination [20 marks] b.) Let Using the scalars cl, c2 and c3: Are these scalars (cl, c2 and c3) linearly dependent? If so, give their linear combination. [15 marks]