Determining the vector space homomorphism

Assignment Help Basic Statistics
Reference no: EM13965119

Let T be defined on real two dimensional plain, and that:

(x,y)T = (ax+by, cx+dy) ; a, b, c, d real constants.

Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?

Reference no: EM13965119

Questions Cloud

Calculate the angular separation of red light : Light is normally incident on one face of a 30degree flintglass prism. Calculate the angular separation of red light (650nm) and violet light (450 nm) emerging from the back face. Use nred=1.644 and nviolent=1.675.
Symmetric group of degree : Is there a group homomorphism $:S4 -> A4, with kernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
Geometric interpretation of the subspace : Show that the set of all elements of R^2 of the form (a, -a), where a is any real number, is a subspace of R^2. Give a geometric interpretation of the subspace.
Direct labor hours to produce product : Scoresby Co. uses 6 machine hours and 2 direct labor hours to produce Product X. It uses 8 machine hours and 16 direct labor hours to produce Product Y.
Determining the vector space homomorphism : Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
Properties of the dot product : How could you use the properties of the dot product to prove the following identities: (where u and v denote vectors in Rn) a) ||u + v||^2 + ||u-v||^2 = 2(||u||^2 + ||v||^2)
Does the law of reflection apply to microwaves : Does the law of reflection apply to microwaves when they strike a metallic plate? Explain. Does the law of refraction apply to microwaves when they strike a prism? Does this produce constant values? Explain.
What is the effective temperature if i put all the electrons : Imagine I have electrons that populate two states in the normal manner at room temperature. I then somehow swap the populations (i.e. all the ones that were in the lower state go into the upper state, and vice versa). What is the new effective tem..
Problem regarding the convolution theorem : By taking the Laplace transform and using the convolution theorem, obtain the solution of the integral equation f(t) = 1+t+int[(t-u)f(u)du,u=0..t)

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd