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(Solution) - Let M N be subspaces of Rn The perp operator acts

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Let M,N be subspaces of Rn. The perp operator acts on subspaces, we can ask how it interacts with other such operations.
(a) Show that two perps cancel: (M?)? = M.
(b) Prove that M  N implies that N? ? M?.
(c) Show that (M+ N)? = M? ? N?.


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This question was answered on: Jul 11, 2017

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