Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let w be a subspace of rn with an orthogonal basis

Let W be a subspace of Rn with an orthogonal basis {w1, w2, ..., wp} and...

80.2K

Verified Solution

Question

Advance Math

Let W be a subspace of Rn with an orthogonal basis {w1, w2,..., wp} and let {v1,v2,...,vq} be an orthogonal basis for W⊥.Let
S = {w1, w2, ..., wp, v1, v2, ..., vq}.
(a) Explain why S is an orthogonal set. (b) Explain why Sspans Rn.
(c) Showthatdim(W)+dim(W⊥)=n.

Answer & Explanation Solved by verified expert
3.9 Ratings (623 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Geometry
1.2K views

Your friend Miya is having trouble with the lessons on triangle congruence She sends you...

Biology
1.2K views

Explain how cellulose, hemicellulose and pectin organization in the cells wall affects the direction of cell...

Biology
1.2K views

#2 I post this twice, please don't duplicate answer I need two different views. Thanks Discussion: Inner Neandertal What...

Mechanical Engineering
1.2K views

Example 3.7: A commercial steel piping system is delivering water at 30°C from pressurized tank A...

Physics
1.2K views

An object is placed at a distance of 40 cm from a concave mirror of...

Physics
1.2K views

A rigid cylinder with a movable piston contains a sample of hydrogen gas. At330. K,...

Statistics
1.2K views

possible According to flightstats com American Airlines flights from Dallas to Chicago are on time...

Algebra
1.2K views

Perform the indicated operation 7 5 p p 42 p 10p 21

Accounting
1.2K views

Please help me with this question,Thx. ...

Accounting
1.2K views

Problem 2: Accounts Receivable and Allowance (10 points) Show T Accounts clearly marked to earn...

Accounting
1.2K views

Kaylee James, a connoisseur of fine chocolate, opened Kaylee's Sweets in Collegetown on February 1....

Accounting
1.2K views

10. Libby Oil Company has a working interest in a remote lease located in Wyoming....