Purchase Solution

Isomorphism

Not what you're looking for?

Ask Custom Question

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?

Purchase this Solution

Solution Summary

This is a proof regarding vector space homomorphisms.

Solution Preview

First, we show that T is a vector space homomorphism.
For any two vectors (x1,y1), (x2,y2) and real number r, we ...

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.