Purchase Solution

Linear transformations

Not what you're looking for?

Ask Custom Question

Is the following transformation linear?
T: R^3 -> R^2 defined by T(x,y,z)=(x,y)

Purchase this Solution

Solution Summary

This shows how to determine if a transformation is linear.

Solution Preview

For each transformation T you need to show that the following holds: 1.)T(X+Y)=T(X)+T(Y) and 2.)T(kX)=kT(X) where X and Y are in R^3 and k is a scalar.
First, you need to write X and ...

Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.