Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. for each of the subspaces ? and ? of ?4 (?) define

For each of the subspaces ? and ? of ?4 (?) defined below, find bases for...

80.2K

Verified Solution

Question

Advance Math

For each of the subspaces ? and ? of ?4 (?) defined below, findbases for ? + ? and ? ? ?, and verify that dim[?] + dim[? ] = dim[?+ ? ] + dim[? ? ? ]

(a) ? = {(1, 3, 0, 1), (1, ?2, 2, ?2)}, ? = {(1, 0, ?1, 0), (2,1, 2, ?1)}

(b) ? = {(1, 0, 1, 2), (1, 1, 0, 1)}, ? = {(0, 2, 1, 1), (2, 0,?1, 0)}

Answer & Explanation Solved by verified expert
4.5 Ratings (849 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

Finance
1.2K views

In 2005, Keenan Company paid dividends totaling $ 3,600,000 over a net profit of $ 10.8...

Statistics
1.2K views

Research Question:  What is the effect of gender on whether or not a student has a meal...

Statistics
1.2K views

In a random sample of? males, it was found that 26 write with their left hands...

Biology
1.2K views

Why are the 1780s called the Critical Period O Because problems in the new confederation...

Physics
1.2K views

Zero Marks 0 In all other cases At t 0 a particle leaves the origin...

Algebra
1.2K views

If cos 0 0 in quadrant IV find the exact value of c tan 0...

Accounting
1.2K views

Why are joint costs allocated to individual products?

Accounting
1.2K views

Souza Technology issued $4,000,000 of 6% bonds on August 1, 2019 in order to raise...

Accounting
1.2K views

Problem 5-15(Static) Bonds and leases; deferred annuities [LO5-3,5-8,5-10] On the last day of...

Accounting
1.2K views

Calculating unit cost; units gained in production A company manufactures a liquid product called Glitter....

Accounting
1.2K views

Problem \#2 (19 pts): On January 1, 2014, Cassandra Incorporated paid $300,000 for 60% of...

Finance
1.2K views

The annual interest rate is 5%.What is the present value (PV) of $1,000 that you'll...