# Transformation : Null Space, Range and Eigenvalues

Not what you're looking for?

Please see the attached problem relating to null space, range, eigenvalues and transformation.

##### Purchase this Solution

##### Solution Summary

A problem relating to null space, range, eigenvalues and transformation is solved. The solution is detailed and well explained.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

1) For the matrix A3, the null space denoted usually by "ker(A3)" from word "kernel", is defined as the set of solutions of equation:

where (0) is the null vector, that is the vector (0, 0, 0) (unlike number 0, which is a simple scalar)

Trying to solve the above equation, we get the algebraic system:

It can be easily observed that the system is not a Cramer one, because the rank of main matrix is 1, the same as the extended matrix. That means the system is consistent, but an infinite number of solutions will be ...

##### 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.

##### 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.