Answer :


|A| = 3(– 5) + 1(3) – 2(– 6)


|A| = 0


Cofactors of A are:


C11 = (– 1)1 + 1 0 – 5 = – 5


C21 = (– 1)2 + 1 0 – 10 = 10


C31 = (– 1)3 + 1 1 + 4 = 5


C12 = (– 1)1 + 2 0 + 3 = – 3


C22 = (– 1)2 + 1 0 + 6 = 6


C32 = (– 1)3 + 1 – 3 – 0 = 3


C13 = (– 1)1 + 2 0 – 6 = – 6


C23 = (– 1)2 + 1 – 15 + 3 = 12


C33 = (– 1)3 + 1 6 – 0 = 6


adj A =


=


Adj A x B =


=


Hence, The above system is inconsistent.


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