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## Homework Statement

Find the basis for the row space

## The Attempt at a Solution

the given matrix is

0 1 2 1

2 1 0 2

0 2 1 1

So i reduced to row-echeleon form

2 1 0 2

0 1 2 1

0 0 3 1

so then rank = 3. My textbook states that the basis of the row space are the row vectors of leading ones, hence the basis for row space is

{ [2,1,0,2], [0,1,2,1], [0,0,3,1] }

however my textbook has this answer

{ [6,0,0,5], [0,3,0,1]. [0,0,3,1] }

HOW?!!?!?!!?!?! :-(

edit: NVM figured it out. Didnt realize the textbook reduced the matrix to reduced row form.

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