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Mathematics 15 Online
OpenStudy (anonymous):

what is the rank ?

OpenStudy (owlfred):

Clarify your question please.

OpenStudy (anonymous):

rank of ? matrix?

OpenStudy (nowhereman):

The rank is the dimension of the image of a linear function between vector spaces.

OpenStudy (nowhereman):

So if you interpret a linear function between finite dimensional vector spaces as multiplication with a matrix (so choosing a basis in the vector spaces) the rank of that matrix is the number of maximal linearly independent row / column vectors.

OpenStudy (anonymous):

Or the number of non-zero rows in a matrix can be considered as its rank

OpenStudy (anonymous):

Fill in the table with maximum values for rank and minimum values for nullity for each size of matrix: 4x6 7x3 6x6 and 1x4

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