I'm moving on to my next section of work and i come across this example:(adsbygoogle = window.adsbygoogle || []).push({});

Consider the homogeneous system

x + 2y − z + u + 2v = 0

x + y + 2z − 3u + v = 0

It asks for a basis to be found for the solution space S of this system. And also what is the dimension of S.

I know this might be basic but I can't remember how to form a matrix from that system. I believe I will know how to answer the question once i have the matrix. Can anyone help?

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# Finding a basis

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