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I was solving some practice questions on linear algebra and I came accross this one. I've solved many of its kind, but this one has a variation i'm not so sure about.. Here's the question:

Let A =

| 0 3 -6 3 |

| 0 -3 6 -3 |

Find a basis of nullspace (A). (a set of basic solutions for the homogeneous system)

(That's a matrix, sorry about not using latex, I'm kinda new here)

Now, I know how to do a normal question, by doing elementary row operations and then factoring the parameters.. But what do I do when the first column is all zeroes?? do I make the first basic solution a column of 4 zeroes? or what?

Your help would be greatly appreciated, thx..

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# Matrices: Technical Questions

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