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Question -

Find the adjoint of each of the following matrices:

Verifythat (adj A) A = |A| I = A (adj A) for the above matrices.



Answer -

(i) Let

A = 

Cofactors of A are

C11 = 4

C12 = – 2

C21 = – 5

C22 = – 3

(ii) Let

A = 

Therefore cofactors of A are

C11 = d

C12 = – c

C21 = – b

C22 = a

(iii) Let

A = 

Therefore cofactors of A are

C11 = cos α

C12 = – sin α

C21 = – sin α

C22 = cos α

(iv) Let

A = 

Therefore cofactors of A are

C11 = 1

C12 = tan α/2

C21 = – tan α/2

C22 = 1

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