Find the basis and dimension of the following homogeneous system:(adsbygoogle = window.adsbygoogle || []).push({});

Code (Text):

A = |1 0 2| |x1|

|2 1 3| |x2| = [0,0,0]

|3 1 2| |x3|

My attempt:

Solving the coefficient matrix for RREF, I get the identify matrix.

So, x1=x2=x3=0 and the only solution is a trivial one.

Does that mean there is no basis(empty basis), or that the basis only contains the zero vector and has dimension zero?

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# Homework Help: Lin Alg - Find the basis and dimension

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