Question: (a) Show that if W, Z Rn are complementary subspaces, then W and Z are also complementary subspaces. (b) Sketch a picture illustrating this

(a) Show that if W, Z ⊂ Rn are complementary subspaces, then W⊥ and Z⊥ are also complementary subspaces.
(b) Sketch a picture illustrating this result when W and Z are lines in R2.

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a We are given that dim W dim Z n and W Z 0 Now dim W n dim W dim Z n dim Z and henc... View full answer

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