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Homework Statement
Could someone please help me do this problem?:
“Write the complete solution as x_p plus any multiple of s in the nullspace:
x + 3y + 3z = 1
2x + 6y + 9z = 5
–x – 3y + 3z = 5”
The answer is x = x_p + x_n = {{-2},{0},{1}} + x_2 {{-3, 1, 0}}.
Homework Equations
Ax = b
The Attempt at a Solution
I get the {{-2},{0},{1}} and {{-3},{1},{0}} but, I don't get how the x_2 was obtained there.
Any input would be really appreciated!