Purchase Solution

Polynomials : Matrices, Reflection Matrices and Linear Transformation

Not what you're looking for?

Ask Custom Question

From the cubics P3 to the fourth degree polynomials P4, what matrix represents multiplication by 2 + 3t? The columns of the 5 by 4 matrix A come from applying the transformation to each basis vector x1 = 1, x2 = t, x3 = t2, x4 = t3.

Verify directly from c2 + s2 = 1 that the reflection matrices satisfy H2 = I.
c = cosine
s = sine

Prove that A2 is a linear transformation if A is (say from R3 to R3).

Attachments
Purchase this Solution

Solution Summary

Matrices, Reflection Matrices and Linear Transformation are investigated. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

From the cubics P3 to the fourth degree polynomials P4, what matrix represents multiplication by 2 + 3t? The ...

Purchase this Solution


Free BrainMass Quizzes
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.

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.