# Let M,N be subspaces of Rn. The perp operator acts on subspaces, we can ask how it interacts with other

## Question:

(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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