how to find determinant of a 3x3
HOW TO FIND THE DETERMINANT OF A 3X3 MATRIX
Allow A is 3x3 matrix,
Here,
Number of rows of the required matrix is iii.
Number of columns of the required matrix is 3.
The determinant of the matrix A is calculated every bit,
Notation :
- If |A| = 0, then it is a singular matrix.
- If |A| ≠ 0, then it is a non singular matrix.
Example ane :
Solution :
And so, the determinant of A is 0
Example 2 :
Solution :
|A|= +2(0 - iv) - 3(-1 + 0) - one(-1 + 0)
= -eight + 3 + 1
= -viii + iv
|A|= -iv
So, the determinant of A is -four
Case three :
Solution :
|B|= + 0(0 - 1) - i(0 - 2) + 2(1 - 0)
= 2 + 2
= 4
And so, the determinant of B is 4
Example iv :
Solution :
|A|= +two(0 - half-dozen) - 1(1 - ii) + 1(-3 + 0)
= -12 + 1 - iii
= -fourteen
So, the determinant of A is -fourteen
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