Math 123 Test 2 Review Sheet; Test Date: October 22, 2007
1
Dr. Michael A. Unseren
Test Policies
•
Exam
is closed book/closed note, no calculator
•
10% Penalty for Cell Phone/Pager/Beeper sounding during the official exam period.
•
Use the restroom before the test. I will only permit you to leave the classroom in the event of an
emergency.
o
If you must leave the classroom due to an emergency, give your exam to me. I will give it
back to you when you return to the classroom.
•
Please do not talk to anyone except your instructor/proctor until the exam is officially over so as
not to disturb those who are still working.
•
Show me a picture ID when submitting your exam.
NOTATION:
1.
In this review, “_” denotes a subscript. E.g., x_1 means variable x sub 1; I_n denotes and (nxn)
identity matrix.
2.
Also, ^ denotes superscript so A^t means the transpose of matrix A.
3.
B^(1) denotes the inverse of square matrix B.
4.
AB denotes the multiplication of matrices A and B.
a.
Remember: row length of A must equal column length of B for the matrices to be
compatible for multiplication.
The test encompasses the following:
Solving a system of n linear equations in n unknowns:
±
If your work reveals there is not a unique solution, state either “InconsistentNo
Solution” and point out the inconsistency or state “DependentInfinitely Many
Solutions”.
•
Further, if the system is dependent, give a
parameterized solution for the
system.
±
If your work reveals there is a unique solution, state “Unique Solution” and give
the solution for each variable.
Review all quizzes pertaining to chapter 3 material. Study lecture notes and problems
solved during lectures.
If I ask you to obtain to rowreduce a matrix, you must obtain rowreduced form (page
182).
Section 3.1 Systems of two linear equations in two unknowns.
•
Study the yellow box on page 152. What is the restriction on the coefficients?
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View Full DocumentMath 123 Test 2 Review Sheet; Test Date: October 22, 2007
2
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Word problems: set up a system of two linear equations in two variables (or three linear equations
in three variables) given a word problem. Define all variables and the meaning of each equation.
Look at example 1 and practice problem 1.
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 Spring '08
 Unseren
 Math, Linear Algebra, Linear Equations

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