Linear Algebra · Advanced · 5 min
When vectors make a plane
Two vectors can build a plane only when they point in genuinely different directions.
WHAT HAPPENS IF…Make two nonzero vectors that span only a line.
Preparing your experiment…
For two vectors in the plane, nonzero determinant means the only zero-producing combination is the trivial one. If the determinant is zero, the columns are dependent and span at most a line.
A detail that matters
Two different vectors can still be linearly dependent.
Keep the connection going
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