Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes
To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix

3  4 


2  1 
We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A.
Encrypted Matrix  = 


= 

which we can also write as
To decipher the encoded message, multiply the encrypted matrix by
The following question uses the above matrix A for encoding and decoding.
Decode the following message, which was encrypted using the matrix A. (Include any appropriate spaces in your answer.)
Consider the given question,
Find the inverse of the matrix A,
Multiply the Encrypted matrix wit...
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