Find the adjoint of the given matrix and verify in each case that `A.(

1.	Find the adjoint of the given matrix and verify in each case that `A.(adj A)=(adj A).A=\|A\|.I.` `[(2,3),(5,9)]`
Answer» Correct Answer - `[(9,-3),(-5,2)]`

Discussion

Find the inverse of each of the matrices given below : `[(3,-5),(-1,2)]`
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Find the inverse of each of the matrices given below : Compute `(AB)^(-1) when A=[(1,1,2),(0,2,-3),(3,-2,4)] and B^(-1)=[(1,2,0),(0,3,-1),(1,0,2)]`. Find `A^(-1).
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))`
Find the inverse of each of the matrices given below : Show that the matrix `A=[(-8,5),(2,4)]` satisfies the equation `x^(2)+4x-42=0` and hence find `A^(-1)`.