(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Taking first year matrix/linear algebra theory at college.

I got a system of linear equations:

x+2y+3z=0

-5y-2z=0

4z=0

2. The attempt at a solution

This question looks so funny and easy but I think there must be a trick answer.

I got: z = 0, y = 0 and x = 0 (used back substitution).

The real problem for me is interpreting/accepting this answer.

Since all the variables are 0, then the whole thing is going to be zero. Is there a special interpretation for this? Does this mean that there are infinite solutions for x y and z? If there are infinite solutions, does this imply that x y and z are "free variables"?

I'm not even sure if I should put this in the "precalculus" part of the forum.

Thanks

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# Homework Help: Systems of linear equations

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