Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let r[x, y] be the set of polynomials in two coeff

Let R[x, y] be the set of polynomials in two coefficients. Prove that R[x, y] is...

80.2K

Verified Solution

Question

Advance Math

Let R[x, y] be the set of polynomials in two coefficients. Provethat R[x, y] is a vector space over R. A polynomial f(x, y) iscalled degree d homogenous polynomial if the combined degree in xand y of each term is d. Let Vd be the set of degree d homogenouspolynomials from R[x, y]. Is Vd a subspace of R[x, y]? Prove youranswer.

Answer & Explanation Solved by verified expert
4.2 Ratings (771 Votes)
If you doubt in any step    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

Q

The radius of a circle is 4 meters What is the length of a 135...

Geometry
Q

Make circuit diagrams for each of the objectives: -tTo observe the input voltage and excitation current...

Electrical Engineering
Q

Identify three specific examples that vividly show how leadership and communication are interdependent and impact effectiveness.

General Management
Q

The information-processing perspective_A examines separate aspects of thinkingB fails to consider biological influences on cognitive...

Biology
Q

Question 1 Points 1 The quantity 2 0 km s represents O displacement O velocity...

Biology
Q

Two small spherical shells have charges 9 C and 6 C separated by a distance...

Physics
Q

3 34 A potential difference of 220V is maintained across a 12000 rheostat as shown...

Physics
Q

3 You are at the airport A moving sidewalk moves East at 2 5m s...

Physics
Q

Verify the identity.secx-secx sinx = cos xTo verify the identity, start with the more complicated...

Basic Math
Q

The following table shows the mean standard deviation 10 25 75 and 90 percentiles for...

Statistics
Q

Factor the following difference of two squares completely 6 m 100n C

Algebra
Q

Which of the following statements is true? O A. On average building societies are exactly...

Finance