# UW Common Math 308 Section 4.2.pdf - KEIRAHANSEN...

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Current Score :30 / 30Due :Thursday, November 9 2017 11:00 PM PST1.2/2 points |Previous AnswersHoltLinAlg2 4.2.006.Use the solution method from thisexampleto find a basis for the given subspace.[3, 0; 5, ­18]Give the dimension of the basis.S= span,359−322Solution or ExplanationRow­reduce the matrix with the given vectors as rows,Thus a basis forSis given by the non­zero row vectors,The dimension is 2.UW Common Math 308 Section 4.2 (Homework)KEIRA HANSENMath 308, section F, Fall 2017Instructor: Lucas BrauneWebAssignThe due date for this assignment is past.Your work can be viewed below, but no changes can be made.Important!Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor maynotgrant you an extension if youhave viewed the answer key. Automatic extensions are not granted if you have viewed the answer key.Request Extension~.359−3350−18,.350−18
2.2/2 points |Previous AnswersHoltLinAlg2 4.2.010.Use the solution method from thisexampleto find a basis for the given subspace.[1, 0; 0, 1; ­1, 2; 1, 0]Give the dimension of the basis.S= span,,,10−112102012031−1322
3.2/2 points |Previous AnswersHoltLinAlg2 4.2.014.Use the solution method from thisexampleto find a basis for the given subspace.[1, 5; 2, 9; 3, 7]Give the dimension of the basis.S= span,,123597−3−5−122Solution or ExplanationRow­reduce the matrix with the given vectors as columns,A basis forSis given by column 1 and 2 of the original matrix corresponding to the pivot columns of the row­reduced matrix.Hence a basis forSisThe dimension is 2.~.15−329−537−115−301−1000,.123597
4.2/2 points |Previous AnswersHoltLinAlg2 4.2.015.Use the solution method from thisexampleto find a basis for the given subspace.[1, 3; ­1, ­5; 0, 10; 2, 8]Give the dimension of the basis.22

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