Sign up

Login
Home

Math

Physics

Chemistry

Biology

Other

Tools
Submit New Formulas/Articles
Recently Added Math Formulas
·
Curl of a Vector Field
·
Divergence of a Vector Field
·
Gradient of a Scalar Field
·
Properties of Transposes
·
The Transpose of a Matrix
Additional Formulas
·
Cartesian Coordinate
·
Cylindrical Coordinate
·
Spherical Coordinate
·
Transform from Cartesian to Cylindrical Coordinate
·
Transform from Cartesian to Spherical Coordinate
·
Transform from Cylindrical to Cartesian Coordinate
·
Transform from Spherical to Cartesian Coordinate
·
Divergence Theorem/Gauss' Theorem
·
Stokes' Theorem
·
Definition of a Matrix
Current Location
>
Math Formulas
>
Linear Algebra
> Matrix Addition
Matrix Addition
Two matrices may be added only if they have the same dimension; that is, they must have the same number of rows and columns. Addition is accomplished by adding corresponding elements.
For example, consider matrix
A
and matrix
B
.
Both matrices have the same number of rows and columns (3 rows and 3 columns), so they can be added. Thus,
And finally, note that the order in which matrices are added is not important, thus:
A
+
B
=
B
+
A
.
Example 1:
Add the two given matrices:
Solution:
Here the dimension of both the matrices is same, so we add the same.
Example 2:
What is the resultant when we add the two given matrices?
Solution:
As the dimension of both the matrices is same, we can add the corresponding entries to get the sum.
Example 3:
Solution:
WebFormulas.com ©
2019

Contact us

Terms of Use

Privacy Policy
