# Definitions for main diagonalmain di·ag·o·nal

### Princeton's WordNet(0.00 / 0 votes)Rate this definition:

1. main diagonal, principal diagonalnoun

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

### Freebase(0.00 / 0 votes)Rate this definition:

1. 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.

### Numerology

1. Chaldean Numerology

The numerical value of main diagonal in Chaldean Numerology is: 9

2. Pythagorean Numerology

The numerical value of main diagonal in Pythagorean Numerology is: 1

## Translations for main diagonal

### From our Multilingual Translation Dictionary

• diagonal principal
• päälävistäjä
• diagonale principale
• főátló
• aðalhornalína, meginhornalína
• diagonale principale
• 主対角
• diametro pelagus
• гла́вная диагона́ль
• huvuddiagonal

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"main diagonal." Definitions.net. STANDS4 LLC, 2021. Web. 27 Nov. 2021. <https://www.definitions.net/definition/main+diagonal>.

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