Question

what is rank matrix?

Answer 1

The maximum number of linearly independent rows in a matrix A is called the row rank of A, and the maximum number of linarly independent columns in A is called the column rank of A. If A is an m by n matrix, that is, if A has m rows and n columns.

Answer 2

hmm....thnQ SO MUCH @scotth

Answer 3

is that useful?

Answer 4

ya as i guess ........it generally ask in entrance exam ..

Answer 5

actually rank are of diffrent types in lnear algebra..if you want then i can tell u much about dem.otherwise its okay.and its also
"The column rank of a matrix A is the maximum number of linearly independent column vectors of A. .
thanks.

Answer 6

no.ok scotth

Answer 7

Rank is the number of lin independent columns in a matrix not the maximum.
Formal definition: The rank of a matrix A , denoted by rank A, is the dimension of the column space of A.

This basically means how many vectors is in the set of Col A.

What do you do when you look for Col A? You row reduce to echelon form and then you see were the pivot columns are. You can stop here if you want to know the rank because that will be the number of pivot columns in matrix A.

Rank Theorem: rank A + dim Nul A= n