Answer
$(1,2,3)$
Work Step by Step
Write the augmented matrix and,
using row transformations arrive at the reduced row echelon form.
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It was suggested to use technology for some problems...
Syntax for matrix input:
A:={{1, -1/2, 0, 0},{ 1/3, 1/3, 1/3, 2},{ 1/2, 0, -1/2, -1}}
In the input box, begin typing "Red..."
select the function:
ReducedRowEchelonForm(A)
(see screenshot)
Solution: $(1,2,3)$