Purchase Solution

The eigenvalues of a 180 degrees rotation matrix

Not what you're looking for?

Ask Custom Question

Show that if q is an element of Reals, then the operator T : Reals^2 -> Reals^2 given by

T ( x , y ) = ( x* cos q - y * sin q , x * sin q + y * cos q) has no real eignvalues unless T = I. I is identity.

Purchase this Solution

Solution Summary

The 2 pages solution demonstrates how to evaluate the eigenvalues of the transfromation matrix and to show that it becomes an identity or reflection matrix under certain conditions.

Solution Preview

The solution is attached below in two files. The files are identical in content, only ...

Purchase this Solution


Free BrainMass Quizzes
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.

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.