In this page matrix determinant we are going to see how to find determinant for any matrix and examples based on this topic.
Definition :
For every square matrix A of order n with entries as real or complex numbers, we can associate a number called determinant of matrix A
It is denoted by A or det (A) or ∆.
Example 1 :
Find determinant of the following matrix.

Solution :
A= 

= 3 

4 

+1 

= 3 [ 6(4) ] 4 [ 010 ]+1 [0(5)]
= 3 [ 6+4 ] 4 [ 10 ]+1 [5]
= 3 [ 2 ] 4 [ 10 ]+ 1 [5]
= 6 + 40 + 5
= 6 + 45
= 39
Example 2 :
Find determinant of the following matrix.

Solution :
= 1 

1 

1 

= 1 [12 ] 1 [ 2(2) ]  1 [21]
= 1 [1] 1 [ 2+2 ]  1 [3]
= 1 1 (4) + 3
= 1 4 + 3
= 5 + 3
= 2
Example 3 :
Find determinant of the following matrix.

Solution :
=1 

2 

+3 

= 1 [ 3  0 ] 2 [ 1  8 ] + 3 [0  6]
= 1 [ 3 ] 2 [ 7 ] + 3 [ 6]
= 3 + 14  18
= 21 + 14
= 7 matrix determinant matrix determinant matrix determinant
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Jan 16, 22 10:27 PM
Operations with Negative Numbers
Jan 16, 22 08:14 PM
Playing with Numbers
Jan 16, 22 12:37 PM
Word Names for Numbers
2. Matrix Inverse Calculator  2x2 Matrix
3. Matrix Inverse Calculator  3x3 Matrix
4. Matrix Inverse Calculator  4x4 Matrix
5. Cramer's Rule Calculator  3x3 Matrix
6. Matrix Addition Calculator  3x3 Matrix
7. Matrix Subtraction Calculator  3x3 Matrix
8. Matrix Multiplication Calculator  2x2 Matrix
9. Matrix Multiplication Calculator  3x3 Matrix
10. Matrix Determinant Calculator  3x3 & 2x2 Matrix
11. Matrix Addition Calculator  2x2 Matrix
12. Matrix Subtraction Calculator 2x2 Matrix
13. Matrix Addition Calculator  4x4 Matrix
14. Matrix Subtraction Calculator 4x4 Matrix
15. Matrix Multiplication Calculator  4x4 Matrix