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## 3.7 Adjoint and Inverse of a Matrix:

3.7.1 Adjoint of a matrix: Let a square matrix A = [aij] of order n and Aij denote the co-factor of aij in |A|, then the adjoint of is defined as:

Hence, adjA is the transpose of the matrix of corresponding co-factors of elements of |A|.

###  Then the co-factors of elements of |A| are;

### Theorem1: If a square matrix A is of order n, then prove that

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