For a non-singular matrix A, A^-1 is equal to _________(a) (adj(A))/det(A)(b) det(A)*(adj(A))(c) det(A)*A(d) none of the mentionedThe question was posed to me during an interview.My doubt is from Inverse of Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For a non-singular matrix A, A^-1 is equal to _________(a) (adj(A))/de

1.	For a non-singular matrix A, A^-1 is equal to _________(a) (adj(A))/det(A)(b) det(A)(adj(A))(c) det(A)A(d) none of the mentionedThe question was posed to me during an interview.My doubt is from Inverse of Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT OPTION is (a) (ADJ(A))/DET(A) Explanation: A(adj(A)) = det(A)I, I = A(adj(A))/det(A) which implies A^-1 = (adj(A))/det(A).

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