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
| |A| |
= |
. |
| . |
= |
a1xb2 - a2xb1 |
Equation to calculate the determinant of 3x3 Matrix
The expansion of the determinant is..
| |A| |
= |
. |
| . |
= |
a1 |
| . |
| . |
- b1 |
. |
| . |
+ c1 |
. |
| . |
| so |A| |
= |
. | 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.
Note: We can calculate the inverse of a matrix only when the determinant of that matrix is not equal to zero.
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