# Find the adjoint of the matrix and hence show that A(adj A) = |A| I3.

A = |A| = = – 1(1 – 4) + 2(2 + 4) – 2( – 4 – 2)

= 3 + 12 + 12

|A| = 27

Cofactors of A

C11 = – 3 C21 = – 6 C31 = 6

C12 = – 6 C22 = 3 C32 = – 6

C13 = – 6 C23 = – 6 C33 = 3

adj A = = So, adj A = A(adj A) = = A(adj A) = 27 Rate this question :

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