Unformatted text preview: ive a counterexample if it is false. If it is false, is
there the core of a good idea? Can you add some hypotheses to salvage it? P1. Lay 6.2 # 33
P2. (True or false) Let W be a subspace of a vector space. If x is in both W and W ⊥ then x = 0.
P3. (True or false) If U is an m × n matrix with orthonormal columns, then m > n. Exploration questions
These are questions which is testing your understanding of the fundamentals. They are not routine exercises
since the solution process may not be obvious at ﬁrst glance. It may take a little bit of thought to ﬁgure out
what to do; don’t be afraid to play around with some ideas. You’ll learn more by making mistakes and taking
routes which lead to dead ends. Some of these questions may foreshadow upcoming material.
E1. Lay 6.7 #17 1...
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This note was uploaded on 10/13/2013 for the course MATH 240 taught by Professor Bojan during the Fall '10 term at Simon Fraser.
 Fall '10
 Bojan
 Math

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