Question

what is the rank ?

Answer 1

Clarify your question please.

Answer 2

rank of ? matrix?

Answer 3

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

Answer 4

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.

Answer 5

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

Answer 6

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