# Answer to Question #40904 in Functional Analysis for waqas

Question #40904

If Z is an (n — l)dimensional subspace of an n-dimensioned vector

space X, show that Z is the null space of a suitable linear functional f

on X, which is uniquely determined to within a scalar multiple.

space X, show that Z is the null space of a suitable linear functional f

on X, which is uniquely determined to within a scalar multiple.

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