Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. 1. let ??(f), ??(f) and ??(f) denote the spaces of

1. Let ??(F), ??(F) and ??(F) denote the spaces of strictly upper triangular, diagonal, and strictly lower...

90.2K

Verified Solution

Question

Advance Math

1. Let ??(F), ??(F) and ??(F) denote the spaces of strictlyupper triangular, diagonal,
and strictly lower triangular ?×? matrices over F,respectively. Show that ??(F) = ??(F)???(F)???(F). Compute thedimensions of these spaces and show they sum
2 up to ?.

2. Is the set {?3+2?2,??2 +3?+1,?3 ??2 +2??1} in P3(R) linearly independent? Is it abasis?

Answer & Explanation Solved by verified expert
4.4 Ratings (947 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

Accounting
1.2K views

Alfred E. Old and Beulah A. Crane, each age 42, married onSeptember 7, 2016....

Finance
1.2K views

6. Anna operates a child care service from her home. Her gross business income for 2015...

Finance
1.2K views

You are planning to save for retirement over the next 30 years. To save for retirement,...

Biology
1.2K views

A cis-acting mutation that leads to MINIMAL expression of the lac operon would most likely be...

Finance
1.2K views

Agency program and policy evaluations are subject to a variety of conflicts of interest, depending on...

Basic Math
1.2K views

a random sample of 175 xray machines is taken. and 54 machines in the sample malfunction....

Physics
1.2K views

electric interaction between these dipoles will be dipoles are placed as shown r is the...

Geometry
1.2K views

144 5 4 56 3 2 m 1 m42 m43 m24 m25

Basic Math
1.2K views

Find a general solution to the given differential equation 24y 14y 3y 0 What is...

Statistics
1.2K views

Which of the following descriptive statistics can be used for ratio data choose one or...

Accounting
1.2K views

Comprehensive Problem. 1 Timpanogos Incorporated is an accrual-method, calendar-year corporation. For 2023, it...

Finance
1.2K views

Dani Corporation has 5 million shares of common stock outstanding. The current share price is...