8. What is the matrix form of the Hadamard gate? 9. Send a 0> through a Hadamard, and then an X gate. 10. What is the normalisation constraint on a qubit's amplitudes, and why does it exist? 11. A valid quantum gate must be unitary. Explain this statement with an example. 12. If a=a+bi,=c+di, and =a0>+1, express > in vector form in terms of a,b,c and d. 13. Given your answer in question 12, express