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Question: thm 1611 let v be a vector space containing...

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thm 1.6.11:

Let V be a vector space containing
Exercise 1. Let U, W be 6-dimensional subspaces of R. Show that Un W(0). Consider the Dimension Theorem in the notes, Theorem 1.6.11. Physical intuition says we cannot stuff two 2-dimensional spaces inside three-dimensional space (ie. of dimension less than 2x 2) without them in- fails you
THEOREM 1.6.11 (The Dimension Theorem)· Let V be a tector space antain ing tector subspaces U,WSV.Then dìm(U + W) + dim(U n W) = dim U + din ll.
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