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kthurst

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**"Ax=b; every vector b is exactly from one vector x (from row space of A)".. <more>?**

Hi,

I m referring 'Linear Algebra and its applications by Gilbert Starng".

I read (ch.3.1)"Matrix transforms every vector from its row space to its column space". Or

if given Ax=b; every vector b is exactly from one vector x (from row space of A).

Just want to know What if we multiply A with some vector x which is not in row space?

(can we do it !?)...

Not able to figure it out. may be i have missed some basic concept or misunderstood it.

Please help me out..

than u..