Find the adjoint of the given matrix and verify in each case that `A.(adj A)=(adj A).A=|A|.I.` `[(cos a,sin a),(sin a,cos a)]`

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.` `[(cos a,sin a),(sin a,cos a)]`
Answer» `[(cos a,-sin a),(-sin a, cos a)]`

Find the inverse of each of the matrices given below : `[(3,-5),(-1,2)]`
Find the inverse of each of the matrices given below : `[(4,1),(2,3)]`
Find the inverse of each of the matrices given below : `[(2,-3),(4,6)]`
Find the inverse of each of the matrices given below : `[(a,b),(c,d)], when (ad-bc)!=0`
Find the inverse of each of the matrices given below : `[(0,0,-1), (2,-1,4),(-2,-4,-7)]`
Find the inverse of each of the matrices given below : `[(2,-1,4),(-3,0,1),(-1,1,2)]`
Find the inverse of each of the matrices given below : `[(8,-4,1),(10,0,6),(8,1,6)]`
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)`.