CR MATH 45 - Exam #1 Elimination and Matrix Operations (11 pages)

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Exam #1 Elimination and Matrix Operations



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Exam #1 Elimination and Matrix Operations

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Pages:
11
School:
College of the Redwoods
Course:
Math 45 - Linear Algebra
Linear Algebra Documents

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College of the Redwoods Mathematics Department Math 45 Linear Algebra Exam 1 Elimination and Matrix Operations David Arnold Copyright c 2000 David Arnold Eureka redwoods cc ca us Last Revision Date October 4 2002 Version 1 00 2 Essay Questions Read Carefully You have the weekend to complete the exam The exam is due on my desk at the beginning of class on Monday This exam is open notes open book All work must be done by hand but you may certainly use a calculator or computer to check your work where appropriate You must answer all of the exercises on your own You are not allowed to work in groups on the exam You are not allowed to enlist the aid of a tutor or friend to help with the exam You are not allowed to read the exercises in the exam then seek help on similar questions Once you open the exam and read the questions you may not seek any outside help of any kind From the moment you open the exam you must do everything by yourself Place the solution to each exercise on a separate sheet of paper On a good sheet of paper write out longhand and sign the following honor pledge I promise that all work found herein is my own I have received no help from tutors colleagues or other teachers I have honored all of the examination constraints listed in the directions Arrange the problems in order place these examination pages on top of your solutions then place the honor pledge on top of the examination as a cover sheet Staple Good luck Exercise 1 Use elimination and back substitution to solve the following system of equations All computations are to be performed by hand Show your work x1 2x2 3x3 12 2x1 3x2 x3 0 3x1 4x2 2x3 21 Exercise 2 The following matrix represents the reduced row echelon form of an augmented matrix for a system of three equations in unknowns x1 x2 and x3 1 0 2 3 0 1 3 4 0 0 0 0 What is the solution of the system Exercise 3 Let A be a matrix with three rows a What 3 3 matrix E adds 5 times row 2 to row 3 and then adds 2 times row 1 to row 2 when it



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