Exam1_1013_sol

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Name ______________________________ Examination 1 M340L-CS 1. Use extra paper to determine your solutions then neatly transcribe them onto these sheets. 2. Do not submit the scratch sheets. However, all of the work necessary to obtain the solution should be on these sheets. 3. Comment on all errors and omissions and enclose the 1. Mark T(rue) or F(alse) for each of the following statements: __T__a. Every elementary row operation is reversible. __F__b. Two matrices are row equivalent if they have the same number of rows. __F__c. Elementary row operations on an augmented matrix can change the solution set of the associated linear system. __T__d. A consistent system of linear equations always has one or more solutions. __F__e. The reduced echelon form of a matrix may not be unique. __T__f. A general solution of a system is an explicit description of all solutions of the system. __T__g. If the columns of an m n matrix A span , m then the equation Ax b is consistent for each b in . m __T__h. If the equation Ax b is consistent, then b is in the set spanned by the columns of . A __F__i. For an n n system of linear equations, the Gaussian Elimination Algorithm with Partial

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