Rotations submodules and subspaces

Reference no: EM13124397

Linear Transformations, Rotations, Submodules and Subspaces

(7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule for this T.

Here F[X] is a polynomial domain where the coefficient ring is a field F.

Reference no: EM13124397

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