Q. 6
Find the adjoint of the given matrix and verify in each case that A. (adj A) = (adj A) =m |A|.I.
Answer :
Here, 
Now, we have to find adj A, and for that, we have to find co-factors:
Calculating A (adj A)
= -2I
Calculating (adj A)A
= -2I
Calculating |A|.I
Expanding along C1, we get
= [0(2 – 3) – (1){1 – 2} + 3(3 – 4)]I
= [0 – 1(-1) + 3(-1)] I
= (1 – 3)I
= -2I
Thus, A(adj A) = (adj A)A = |A|I = -2I
⇒ A(adj A) = (adj A)A = |A|I
Hence Proved
Ans. 
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