Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Calculus and Beyond Homework Help
Proof regarding orthogonal projections onto spans
Reply to thread
Message
[QUOTE="brmath, post: 4514739, member: 486151"] Just to get some insight, start with a simple case. Take R3 as your underlying space and let U and V each be 1 dimensional. So each is a line. Pu is on the U line and Pv is on the V line. What is the subspace X spanned by the basis vectors of U and V? ? If y is in X can you see why the theorem would be true in this case? Consider 3 possibilities: y is in U, y is in V or y is in neither. To generalize, consider the composition of y in X. The u's and v's are the basis of X, so you can express y in terms of those basis vectors. If you do that, and think about the situation in the above paragraph, perhaps you can get started. [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Calculus and Beyond Homework Help
Proof regarding orthogonal projections onto spans
Back
Top