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.
The numerical value of main diagonal in Chaldean Numerology is: 9
The numerical value of main diagonal in Pythagorean Numerology is: 1
Images & Illustrations of main 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, 2017. Web. 29 Mar. 2017. <http://www.definitions.net/definition/main diagonal>.