In this problem, you will carry out encryption and decryption using the Hill cipher with the 2x2 matrix:

| 4 7 | | 5 11 | 

1. Encrypt the plaintext february. Encode the letters with the values a=0, b=1, ..., z=25. Because the alphabet size is 26, all calculations will be done mod 26. Provide the ciphertext in alphabetic form.
2. Calculate the decryption matrix. This is the inverse of the encryption matrix. Please see section 3.8 for how to do this.
3. Decrypt the ciphertext KTKZPFXJ.