> #mathematics , #geometry , #linear-algebra > A determinant of zero doesn't geometrically mean that the equations define the same line.True or false?
Anonymous
Mar 28

A determinant of zero doesn't geometrically mean that the equations define the same line.True or false?

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Mar 28
True. A determinant of zero means that the equations are linearly dependent, but it does not necessarily mean that they define the same line. They could still define parallel lines or intersecting lines.
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