en>Wikipelli: Reverted edits by 24.248.56.182 (talk) to last revision by Addbot (HG)

2013-12-05T16:17:26Z

Reverted edits by 24.248.56.182 (talk) to last revision by Addbot (HG)

← Older revision		Revision as of 18:17, 5 December 2013
Line 1:		Line 1:
	~~My name~~ is ~~Heath Carrion~~. ~~I life~~ in ~~Campinas~~ (~~Brazil~~).<br><br>~~Feel free~~ to ~~visit my webpage -~~ [http://~~hemorrhoidtreatmentfix~~.com/~~bleeding-hemorrhoids how to stop bleeding hemorrhoids~~]		In [[linear algebra]], the '''main diagonal''' (sometimes '''leading diagonal''' or '''major diagonal''' or '''primary diagonal''' or '''principal diagonal''') of a matrix <math>A</math> is the collection of entries <math>A_{i,j}</math> where <math>i</math> is equal to <math>j</math>.

			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:

			:<math>\begin{bmatrix}
			1 & 0 & 0\\
			0 & 1 & 0\\
			0 & 0 & 1\end{bmatrix}.</math>

			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 (matrix)\|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.

			:<math>\begin{bmatrix}
			1 & 0 & 0 & 0 \\
			0 & 1 & 0 & 0 \\
			0 & 0 & 1 & 0 \end{bmatrix}</math>

			:<math>\begin{bmatrix}
			1 & 0 & 0\\
			0 & 1 & 0\\
			0 & 0 & 1\\
			0 & 0 & 0\end{bmatrix}</math>

			The diagonal of a square matrix from the top right to the bottom left corner is called '''antidiagonal''', '''counterdiagonal''', '''secondary diagonal''', or '''minor diagonal'''.

			==References==
			{{reflist}}
			* {{MathWorld\|id=Diagonal\|title=Main diagonal}}
			* [http://www.mathwords.com/m/main_diagonal.htm Main diagonal] in Mathwords

			[[Category:Matrices]]

130.102.158.16: Vector -> Vectors (Fix typo)

2012-07-31T06:14:31Z

Vector -> Vectors (Fix typo)

New page

My name is Heath Carrion. I life in Campinas (Brazil).<br><br>Feel free to visit my webpage - [http://hemorrhoidtreatmentfix.com/bleeding-hemorrhoids how to stop bleeding hemorrhoids]

Orthonormality - Revision history

en>Wikipelli: Reverted edits by 24.248.56.182 (talk) to last revision by Addbot (HG)

130.102.158.16: Vector -> Vectors (Fix typo)