Assignment 2

Due: Tuesday, March 9. Nothing accepted after Thursday, March 11. This is worth 15 points. 10% off for being late. Please work by yourself on this assignment and all the other assignments that you turn in as part of your grade. Please see me if you need help.

If you use Mathematica for your computer work, see sections 3.7 (Solving equations in Mathematica) and (4.4 Finding Inverses with Mathematica) of the online Notes (www.umd.umich.edu/~fmassey/math217/Notes/).

If you use MATLAB for your computer work, see section 3.8 (Solving equations & matrix inverses in MATLAB) of the online Notes.

Problems: Do the following. For the computer work, turn in a printed copy of what you enter and the output it produces.

1. Solve the following system of equations. Do this both by hand and then using Mathematica or MATLAB. Check that you get the same result in both cases. x + 2y + 3z = 3 y + 2z = 1 4x 5y + 3z = 6

2. Find the inverse of . Do this both by hand using the method discussed in class for finding the inverse of a matrix and then using Mathematica or MATLAB. Check that you get the same result in both cases. You need to show your work. Just having your calculator find the inverse is not acceptable.

3. Use your answer to question 2 to solve the equations in question 1. Do this both by hand and then using Mathematica or MATLAB. Check that you get the same result as in question 1.