Determinant of Matrix :
The determinant of a square matrix is a single number calculated by combining all the elements of the matrix. Determinant of a matrix A is denoted by |A|. The Equation or Formula is calcuated as
Equation to calculate the determinant of 2x2 Matrix
Equation to calculate the determinant of 3x3 Matrix
The expansion of the determinant is.
|so |A| || =
||a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3)
Thus we have to use the above formulas to calculate the value of determinant of the matrices.
We can calculate the inverse of a matrix only when the determinant of that matrix is not equal to zero.