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Topic: second largest element in a matrix
Replies: 32   Last Post: May 5, 2013 10:31 AM

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 Nasser Abbasi Posts: 6,316 Registered: 2/7/05
Re: second largest element in a matrix
Posted: May 5, 2013 12:12 AM

On 5/4/2013 9:59 PM, dpb 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.

>
> A vector is a 1D matrix...
>

The correct definition of Matrix is

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."

While a vector is a list. For example

http://en.wikipedia.org/wiki/Euclidean_vector

"The endpoint of a vector can be identified with an
ordered list of n real numbers (n-tuple). These numbers
are the coordinates of the endpoint of the vector,
with respect to a given Cartesian coordinate system"

ps.
If one really wants to use one name for all of these
objects, then may be tensor is the correct name to use
and not "matrix".

A tensor of rank (or order) 1 can be represented as
vector, while a tensor of rank 2 can be represented as
a matrix. (these are the correct vector and matrix definitions
as per above, not the matlab ones).

A tensor of rank 0 is a scalar and so on... (ps. a matrix
is not always necessarily a tensor of rank 2 but a tensor
of rank 2 can always be written as a matrix). i.e. tensor
is a more general object.

--Nasser

Date Subject Author
9/18/08 Oluwa KuIse
9/19/08 stephanie
9/19/08 Steven Lord
9/19/08 Oluwa KuIse
9/19/08 Pekka
9/19/08 Oluwa KuIse
9/21/08 Greg Heath
9/24/08 Walter Roberson
3/4/09 Justin
4/6/09 Bruno Luong
4/6/09 Jos
4/6/09 Bruno Luong
4/6/09 Bruno Luong
4/6/09 mike zander
4/7/09 Bruno Luong
4/7/09 Bruno Luong
4/3/09 Paul
11/7/12 sssbi2009@gmail.com
11/19/12 dpb
4/3/09 Paul
4/3/09 mike zander
4/3/09 mike zander
4/3/09 mike zander
4/3/09 Walter Roberson
4/3/09 mike zander
5/4/13 tilindg1@gmail.com
5/4/13 Nasser Abbasi
5/4/13 dpb
5/5/13 Nasser Abbasi
5/5/13 dpb
5/5/13 Bruno Luong
5/5/13 Nasser Abbasi
5/5/13 Bruno Luong