FIND INVERSE AND ADJOINT OF MATRICES WITH THEIR PROPERTIES WORKSHEET

(1)  Find the adjoint of the following :

Solution

Solution

Solution

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

Solution

Solution

Solution

(3)  

Solution

(4)  

Solution

(5)  If  A  =  

Solution

(6)

Solution

(7)

Solution

(8)  

Solution

(9) 

Solution

(10)  

Solution

(11)  

Solution

(12)  

Solution

(13)  

Solution

(14)  

Solution

(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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