homework 7

# Give a proof if it is true give a counterexample if

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

Ask a homework question - tutors are online