# For a matrix of order 3x3 , lA adjAl= 343. FIND lAl . Please help soon.Thank You.

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Adjoint of matrix A, is the transpose of the matrix of cofactors of elements in A. When we multiply A with Adjoint (A), we have either 0,

If A is of order n X n matrix, then the matrix product [ A ] [ Adj A ] is a diagonal matrix with determinant of matrix A as each element and all the non diagonal elements are zero.

Hence, determinant of [ A ] [ Adj A ] is | A |^n.

Hence, Determinant of A = (343)^1/3 = 7

If A is of order n X n matrix, then the matrix product [ A ] [ Adj A ] is a diagonal matrix with determinant of matrix A as each element and all the non diagonal elements are zero.

Hence, determinant of [ A ] [ Adj A ] is | A |^n.

Hence, Determinant of A = (343)^1/3 = 7