(1) Find the adjoint of the following :



(2) Find the inverse (if it exists) of the following:



(3)

(4)

(5) If A =

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15) Decrypt the received encoded message [2 -3] [20 4] with the encryption matrix

and the decryption matrix as its inverse, where the system of codes are described by the numbers 1-26 to the letters A− Z respectively, and the number 0 to a blank space. Solution
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