Scientific Computing Using Python - PHYS:4905
Homework #5
Due 9/12/2019


Name _______________________________________________

The answers to this homework must be hand written on paper and show work.  No electronic answers will be accepted.


1. (2) Consider a general 2×2 matrix A.  Describe in words what happens if you multiply PA where

P=(0110)P = \left(\begin{array}{cc|l} 0 & 1 \\ 1 & 0 \\ \end{array}\right)


2. (3) Consider a 2×2 matrix B=(21-12)B = \left(\begin{array}{cc|l} 2 & 1 \\ -1 & 2 \\ \end{array}\right) .  Find the product BB.  If you like, you may multiply the product by 8.P = \left(\begin{array}{cc|l} 0 & 1 \\ 1 & 0 \\ \end{array}\right)



3. (10) Apply the Gaussian elimination algorithm discussed in class to the augmented matrix below.  Write down your steps as you go.  What do you find as the solution?

(11|272-1|0)\left(\begin{array}{cc|l} 1 & 1 & | \, 27 \\ 2 & -1 & | \, 0 \\ \end{array}\right)

4. (5) Do problem #8 in section 2.2 of Linear Algebra, by Cherney, Denton, Thomas, and Waldron.