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M123 Test 2 Review Sheet

# M123 Test 2 Review Sheet - Math 123 Test 2 Review Sheet...

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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 “Inconsistent-No Solution” and point out the inconsistency or state “Dependent-Infinitely 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 row-reduce a matrix, you must obtain row-reduced 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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Math 123 Test 2 Review Sheet; Test Date: October 22, 2007 2 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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M123 Test 2 Review Sheet - Math 123 Test 2 Review Sheet...

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