ENCYCLOPEDIA 4U .com

Lists of articles by category | List of historical anniversaries | List of glossaries | List of themed timelines | List of Science Articles | Biographies | Countries | The Big List | Contact Us

Encyclopedia Home Page

Matrix addition

The usual matrix addition is defined for two matrices of same dimensions. The sum of two m-by-n matrices A and B, denoted by A + B, is again an m-by-n matrix computed by adding corresponding elements, i.e., (A + B)[i, j] = A[i, j] + B[i, j]. For example

The m × n matrices with matrix addition as operation form an abelian group.

For any arbitrary matrices A (of size m × n) and B (of size p × q) , we have the direct sum of A and B, denoted by and defined as

For instance,

Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities.

Copyright © 2005 Par Web Solutions All Rights reserved.
| Privacy

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Matrix addition".