Question

A = 3x4 matrix
3, 2, 1, 10
-2, -3, -9, 5
3, 4, 11, -4

Find a basis for the row space of A

Answer 1

Can you describe the row space in words?

Answer 2

You can use the pivot rows of rref(A) i.e. reduced row echelon form of A

Answer 3

ahh ok thanks

Answer 4

That's one way to do it, LOL.

(I would show that they are linearly independent, so the 3 rows are a basis for the rowspace. But that's what rref does too.)

Answer 5

wait i still don't understand

Answer 6

row reduce the matrix

Answer 7

the row space is the reduced rows, the colspace is the original cols

Answer 8

the basis for the row space are the non-zero rows you obtain after row reducng the matrix

Answer 9

"there can be only one" - the highlander

Answer 10

medals that is :/