Question: If A is a square matrix, the matrix obtained by replacing each element of A by its cofactor and then transposing the resulting matrix is

If A is a square matrix, the matrix obtained by replacing each element of A by its cofactor and then transposing the resulting matrix is known as the adjoint of A and is denoted by Adj(A). Note that A-(1/|A|Adj(A)). Show that, if A and B are square matrices, Adj(AB) = Adj(A) x Adj(B).

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