FIND INVERSE AND ADJOINT OF MATRICES WITH THEIR PROPERTIES WORKSHEET

(1)  Find the adjoint of the following :

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

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(3)  

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(4)  

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(5)  If  A  =  

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(6)

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(7)

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(8)  

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(9) 

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(10)  

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(11)  

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(12)  

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(13)  

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(14)  

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(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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