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# week06 - Math 43 Fall 2007 B Dodson Week 6 Recall that the...

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Math 43, Fall 2007 B. Dodson Week 6: Recall that the graded homework has been postponed to Wednesday, after the break. See the Text Examples 2.27 and 2.28 for the method used on graded homework 6. Section 2.4 will NOT be covered on Friday’s exam. Room Change. Both hour exams will be in Williams 301, at our usual class time, 11:10-12:00. We’ve spent this week on linear combinations, spanning, linear independence, linear dependence and explicit relations of linear dependence; as on suggested homeworks 5 and 6. These topics are on our exam syllabus. Problem 2.2, #30 (suggested Hw 5) Solve the system of equations - x 1 + 3 x 2 - 2 x 3 + 4 x 4 = 0 2 x 1 - 6 x 2 + x 3 - 2 x 4 = - 3 x 1 - 3 x 2 + 4 x 3 - 8 x 4 = 2 Solution We know immediately that this system is either inconsistent or has inﬁnitely many solutions. (Why?) (more variables than equations.) Unless we ﬁnd an inconsistency, we should use Gauss-Jordan (not Gaussian elimination), and include a reduced row echelon matrix. ( Note: this is part of the solution.)

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week06 - Math 43 Fall 2007 B Dodson Week 6 Recall that the...

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