- #1
jinksys
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Find the basis and dimension of the following homogeneous system:
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?
Code:
A = |1 0 2| |x1|
|2 1 3| |x2| = [0,0,0]
|3 1 2| |x3|
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?