Question: A code breaker intercepts the encoded message below. 45 35 38 30 18 18 35 30 81 60 42 28 75 55 2 2 22

A code breaker intercepts the encoded message below.
45 ˆ’35 38 ˆ’30 18 ˆ’18 35 ˆ’30 81 ˆ’60
42 ˆ’28 75 ˆ’55 2 ˆ’2 22 ˆ’21 15 ˆ’10
х Let A-1 Z.

(a) You know that

[45 – 35]A-1 = [10 [38 – 30]A-1 = [8 14] 15]

Where A-1 is the inverse of the encoding matrix A. Write and solve two systems of equations to fine w, x, y, z.
(b) Decode the message.

Let A-1 Z. [45 35]A-1 = [10 [38 30]A-1 = [8 14] 15]

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