# Polynomials : Matrices, Reflection Matrices and Linear Transformation

Not what you're looking for?

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).

##### 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.