**Determinant of a Matrix**: A determinant is a unique number associated with a square matrix. A Determinant can be denoted either as |A| or as det(**A).**

The determinant tells us things about the matrix that is useful in systems of linear equations, helps us find the inverse of a matrix, useful in calculus and more. The determinant det(A) of a matrix A is non-zero if and only if A is invertible or, yet another equivalent statement, if its rank equals the size of the matrix.

**How to Compute the Determinant of 2*2 matrix**: Suppose A is a below given matrix then determinant of the matrix is calculated as per equation given.

|**A**| = (*A*_{11} * *A*_{22}) – (*A*_{12} * *A*_{21})

**How to Compute the Determinant of 3*3 Matrix: **Suppose A is a below given matrix then determinant of the matrix is calculated as per equation given.

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**|A| = A11 (A22*A33 – A32*A23) – A12 (A21*A33 – A31*A23) + A13 (A21*A32 – A22*A31)**