Q. 9

# Find the adjoint of the given matrix and verify in each case that A. (adj A) = (adj A) =m |A|.I. Here, Now, we have to find adj A, and for that, we have to find co-factors:         [cos2 α + sin2 α = 1]     [cos2 α + sin2 α = 1] = I    [cos2 α + sin2 α = 1] = I

Calculating |A|.I

Expanding along C1, we get  = [0 – 0 + 1(cos2 α – (-sin2 α))]I

= [cos2 α + sin2 α] I

= (1)I [cos2 α + sin2 α = 1]

= I

Hence Proved

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