# Answer to Question #40829 in Functional Analysis for waqas

Question #40829

(Linear extension) Let Z be a proper subspace of an n-dimensional

vector space X, and let f be a linear fimctional on Z Show that f can

be extended linearly to X, that is, there is a linear functioned f on X

such that f ̃|z =f

vector space X, and let f be a linear fimctional on Z Show that f can

be extended linearly to X, that is, there is a linear functioned f on X

such that f ̃|z =f

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