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Find the inverse of each of the matrices given below : Obtain the inverse of the matrics `[(1,p,0),(0,1,p),(0,0,1)] and [(1,0,0),(q,1,0),(0,q,1)]`. And, hence find the inverse of the matrix`[((1+pq),p,0),(q,(1+pq),p),(0,q,1)]`. Let the first two matrices be A and B. Then, the third matrix is AB. Now, `(AB)^(-1)=(B^(-1)A^(-1))`

Answer» `[(1,-p,p^(2)),(0,1,-p),(0,0,1)],[(1,0,0),(-q,1,0),(q^(2),-q,1)]and[(1,-p,p^(2)),(-q,pq+1,-qp^(2)-p),(q^(2),-pq^(2)-q,p^(2)q^(2)+pq+1)]`


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