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Unformatted text preview: independent and v 1 , v 2 ∈ R 3 are linearly independent, too. Relate the image and kernel of T to the subspaces V u := span { u 1 , u 2 } and V v := span { v 1 , v 2 } . 4. Show that if T : R n → R m and S : R m → R l are linear maps with Im T ⊂ ker S , then S ◦ T = 0. 5. Assume T : R n → R n and S : R n → R n are bijective linear maps, i.e., ker T = ker S = { } and Im T = Im S = R n . Show that R := S ◦ T is bijective and that R1 = T1 ◦ S1 . 1...
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This note was uploaded on 02/25/2010 for the course MATHEMATIC 11007 taught by Professor Spyros during the Spring '10 term at Bristol Community College.
 Spring '10
 Spyros
 Linear Algebra, Algebra, Geometry

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