Date: May 5, 2013 6:06 AM Author: Nasser Abbasi Subject: Re: second largest element in a matrix On 5/5/2013 4:21 AM, Bruno Luong wrote:

>> On 5/4/2013 7:54 PM, Nasser M. Abbasi wrote:

>>> On 5/4/2013 6:14 PM, tilindg1@gmail.com wrote:

>>>

>>>> IF for example, i have a matrix [3,1,1,0,2,0]

>>>

>>> this is not a matrix. it is a list of a vector.

>

> I'm with dbp on that one. To my book it is a matrix as well. A matrix can have one

> of the size reduced to 1.

> Wikipedia definition never restrict the size large or equal to 2.

>

> Matrix backslash operator \ can be applied on matrices, vectors or scalars

>because they are all matrices.

>

> Thinking a matrix must have a size larger than 1 is human, not mathematics.

>

> Bruno

>

I can only go by Mathematics. In Mathematics, a matrix

is rectangular array. That is what the teacher told us

in class. I also looked up in many other places.

http://www.thefreedictionary.com/matrix

"a. Mathematics A rectangular array of numeric or algebraic

quantities subject to mathematical operations.

b. Something resembling such an array, as in the regular

formation of elements into columns and rows."

http://oxforddictionaries.com/us/definition/american_english/matrix

"3 Mathematics a rectangular array of quantities or

expressions in rows and columns that is treated as a single

entity and manipulated according to particular rules."

http://chortle.ccsu.edu/vectorlessons/vmch13/vmch13_2.html

"A matrix is a collection of numbers arranged into a

fixed number of rows and columns"

http://science.yourdictionary.com/matrix

"Mathematics A rectangular array of numeric or algebraic

quantities subject to mathematical operations."

http://www.macmillandictionary.com/us/dictionary/american/matrix

"math an arrangement of numbers or symbols in a pattern from top to

bottom and from left to right, used for solving problems in mathematics"

http://mathworld.wolfram.com/Matrix.html

"In his 1851 paper, Sylvester wrote, "For this purpose

we must commence, not with a square, but with an oblong

arrangement of terms consisting, suppose, of m lines and

n columns. This will not in itself represent a determinant,

but is, as it were, a Matrix out of which we may form various

systems of determinants by fixing upon a number p, and

selecting at will p lines and p columns, the squares corresponding

of pth order."

https://en.wikipedia.org/wiki/Matrix_%28mathematics%29

"In mathematics, a matrix (plural matrices) is a rectangular

array of numbers, symbols, or expressions, arranged in rows and columns."

--Nasser