Suppose we have a subspace expressed as the linear combination of two vectors (basis):
$S = x * (3, -3, 1) + y * (5, 1, 3)$
How can I find the equation for the subspace (in this case, a plane equation)?
2026-04-23 15:40:55.1776958855
Equation of a subspace given basis
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Hint: All vectors in $S$ are perpendicular to the normal of the plane.