Q. 2 A5.0( 1 Vote )

Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A)



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

Answer :

A =


Cofactors of A are:


C11 = – 3 C21 = 2 C31 = 2


C12 = 2 C22 = – 3 C23 = 2


C13 = 2 C23 = 2 C33 = – 3


adj A =


=


Now, (adj A).A =


=


=


Also, |A|.I = = ( – 3 + 4 + 4)


=


Then, A.(adj A) =


=


=


Since, (adj A).A = |A|.I = A(adj A)


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