Explore BrainMass

# Polynomials : Matrices, Reflection Matrices and Linear Transformation

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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).

https://brainmass.com/math/linear-transformation/-matrices-reflection-matrices-linear-transformation-35601

#### 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 ...

#### Solution Summary

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

\$2.49