# Geometric Interpretation of the Subspace

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Show that the set of all elements of R^2 of the form (a, -a), where a is any real number, is a subspace of R^2. Give a geometric interpretation of the subspace.

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##### Solution Summary

A geometric interpretation of a subspace is determined.

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The set of all elements of R^2 of the form (a, -a), a is a real number, is a subspace if the following conditions are met.

If u and v are elements of the subset and c ...

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