How do you find the rank collumn space and nullity of a matrix?

Question

anonymous · Answer

To find the rank of a matrix you row reduce. You will be left with rows with leading 1s

anonymous · Answer

Count how many rows there are.

anonymous · Answer

doesn't it have to do with the span of the linear combinations?

anonymous · Answer

Let me be a little bit more clear. The dimension of the source space will be the number of columns in the matrix. So just subtract the rank from the number of columns and you will have your nullity.

anonymous · Answer

As for nullity suppose you have the following transformation $f:V\to W$.
$$\dim V = \text{rank}\ T + \text{nullity}\ T$$

anonymous · Answer

thanks

anonymous · Answer

http://en.wikipedia.org/wiki/Rank%E2%80%93nullity_theorem