1.If AAA, BBB, and (adj(A−1)+adj(B−1))\bigl(\text{adj}(A^{-1}) + \text{adj}(B^{-1})\bigr)(adj(A−1)+adj(B−1)) are non-singular matrices of the same order, then the inverse of A(adj(A−1)+adj(B−1))−1BA\bigl(\text{adj}(A^{-1}) + \text{adj}(B^{-1})\bigr)^{-1}BA(adj(A−1)+adj(B−1))−1B is equal to:a.AB+A−1BAB + A^{-1}BAB+A−1Bb.adj(B−1) adj(A−1)\text{adj}(B^{-1})\,\text{adj}(A^{-1})adj(B−1)adj(A−1)c.AB+AB−1ABA−1AB + A B^{-1} A B A^{-1}AB+AB−1ABA−1d.AB(adj(B)+adj(A))AB\bigl(\text{adj}(B) + \text{adj}(A)\bigr)AB(adj(B)+adj(A))Login to continueOnly logged in users canattempt or see the solution.
