Definitions for main diagonal
This page provides all possible meanings and translations of the word main diagonal
main diagonal, principal diagonal(noun)
the diagonal of a square matrix running from the upper left entry to the lower right entry
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.
Translations for main diagonal
From our Multilingual Translation Dictionary
Get even more translations for main diagonal »
Find a translation for the main diagonal definition in other languages:
Select another language:
Discuss these main diagonal definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"main diagonal." Definitions.net. STANDS4 LLC, 2015. Web. 28 Jan. 2015. <http://www.definitions.net/definition/main diagonal>.