# Definitions for **main diagonal**

### This page provides all possible meanings and translations of the word **main diagonal**

### Princeton's WordNet

main diagonal, principal diagonal(noun)

the diagonal of a square matrix running from the upper left entry to the lower right entry

### Freebase

Main diagonal

In linear algebra, the main diagonal of a matrix is the collection of entries where is equal to . The main diagonal of a square matrix is the diagonal which runs from the top left corner to the bottom right corner. For example, the following matrix has 1s down its main diagonal: A square matrix like the above in which the entries outside the main diagonal are all zero is called a diagonal matrix. The sum of the entries on the main diagonal of a square matrix is known as the trace of that matrix. The main diagonal of a rectangular matrix is the diagonal which runs from the top left corner and steps down and right, until the right edge or the bottom edge is reached. The diagonal of a square matrix from the top right to the bottom left corner is called antidiagonal, counterdiagonal, secondary diagonal, or minor diagonal.

# Translation

#### Find a translation for the **main diagonal** definition in other languages:

Select another language:

#### Discuss these main diagonal definitions with the community:

# Citation

## Use the citation below to add this definition to your bibliography:

"main diagonal." *Definitions.net.* STANDS4 LLC, 2014. Web. 20 Aug. 2014. <http://www.definitions.net/definition/main diagonal>.