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Math 181: Test for Chapter 2: Matrices

This test may be taken with a calculator and any number of hand-written notes. Computers or books and other printed material, be they copies, printouts, or typed, are not allowed.
Place your answer in space provide for each question.
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Be careful to read all of each problem. Because these pages are produced on the WEB, for printed versions of these pages there is a chance that a problem, or its possible answers, will be split across two pages.

Generating Augmented Matrices from Systems of Linear Equations

Write the augmented matrix for each of the following systems of linear equations. Note that you are not to solve the systems, just write out the augmented matrices. Be careful in each case.
____________________ 1.

____________________ 2.

____________________ 3.

____________________ 4.

____________________ 5.

Solving Systems of Linear Equations

Solve each of the following systems of linear equations.

____________________ 6.

____________________ 7.

____________________ 8.

____________________ 9.

____________________ 10.

____________________ 11.

____________________ 12.

____________________ 13.

Elementary Row Operations

For each of the following, perform the indicated row operation on the matrix given. Note that the particular operations are chosen just to demonstrate the elementary row opertions

____________________ 14.

____________________ 15.

____________________ 16.

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©Roger M. Palay     Saline, MI 48176     September, 2010