In this page operations on matrices we are going to see how to add,subtract and multiply two matrices.
Addition of twomatrices:
Two and more matrices can be added if and only if they are having same order. If the order those matrices are not same then we cannot add those matrices.
Example 1:
Find the sum of the following matrices
A =
0
2
7
3
2
11
B =
3
1
13
8
7
0
Solution:
A+B=
0
2
7
3
2
11
+
3
1
13
8
7
0
The given two matrices are in the same order, so we may add these matrices. For that we have to combine the corresponding terms.
=
03
2+1
7+13
3+8
27
11+0
=
3
3
20
5
5
11
Subtraction of twomatrices:
Two
and more matrices can be subtracted if and only if they are having same
order. If the order those matrices are not same then we cannot subtract those
matrices.
Example 2:
Subtract the following matrices
A =
5
1
3
8
6
3
B =
4
0
5
7
8
11
Solution:
AB=
5
1
3
8
6
3

4
0
5
7
8
11
The given two matrices are in the same order, so we shall subtract these matrices. For that we have to combine the corresponding terms.
=
5(4)
10
3(5)
87
6(8)
311
=
5+4
1
3+5
87
6+8
311
=
9
1
8
1
14
14
Multiplication of twomatrices:
The product of matrix AB is determined by myltiplying every row matrix of A multiplying by the column matrix of B.
Example 3:
Multiply the following matrices
A =
5
1
8
6
B =
4
0
7
8
Every column of the second is to be multiplied by every row of the first matrix.
AB=
5
1
8
6
x
4
0
7
8
=
5
1
x
4
7
5
1
x
0
8
8
6
x
4
7
8
6
x
0
8
=
(207)
(0+8)
(32+42)
(048)
AB=
27
8
10
48
These are the properties of the topic operations on matrices.operations on matrices
Enjoy this page? Please pay it forward. Here's how...
Would you prefer to share this page with others by linking to it?
Click on the HTML link code below.
Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment,
your Facebook account, or anywhere that someone would find this page valuable.