Purchase Solution

Linear Algebra : Complex Vector Space and Eigenvalues

Not what you're looking for?

Ask Custom Question

This is problem #15 on page 189 of Axler's book Linear Algebra Done Right.

Suppose V is a complex vector space. Suppose T is in L(V) is such that 5 and 6 are eigenvalues of T and that T has no other eigenvalues.
Prove that (T − 5I)^(n−1)*(T − 6I)^(n−1) = 0, where n = dimV.

Purchase this Solution

Solution Summary

A Complex Vector Space and its Eigenvalues are investigated.

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.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

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

Multiplying Complex Numbers

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