# Isomorphism

Not what you're looking for?

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.

##### Exponential Expressions

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

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

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