Purchase Solution

Linear operators proof

Not what you're looking for?

Ask Custom Question

(See attached file for full problem description)

Let V be a two-dimensional vector space over the field F, and let be an ordered
basis for V. If is a linear operator and then prove that

Purchase this Solution

Solution Summary

This is a proof regarding linear operators and two-dimensional vector space.

Solution Preview


Here zero operator and identity operator will have the same matrix with respect to any basis namely the zero matrix and identity matrix ,therefore we need to check the equality with respect to basis = M

M^2= * =


Purchase this Solution

Free BrainMass Quizzes
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.

Multiplying Complex Numbers

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

Solving quadratic inequalities

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

Probability Quiz

Some questions on probability

Exponential Expressions

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