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# a2_1 - ASSIGNMENT 2 EE441 KUMAR Fall 2007 Due Sep 14 1"A...

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ASSIGNMENT 2 EE441 KUMAR Fall 2007 Due: Sep. 14 1. “A typical Chinese problem, taken from the Han dynasty text Nine Chapters of the Mathematical Art (about 200 B.C.) reads: There are three classes of corn, of which three bundles of the first class, two of the second, and one of the third, make 39 measures. Two of the first, three of the second and one of the third, make 34 measures. And one of the first, two of ther second and three of the third make 26 measures. How many measures of grain are contained in one bundle of each class ? The system of equations here is: 3 x + 2 y + z = 39 2 x + 3 y + z = 34 x + 2 y + 3 z = 26 . – Taken from notes of Victor Katz appearing in Linear Algebra by J. B. Fraleigh and R. A. Beauregard. Solve the problem using the augmented matrix formulation. 2. An ( n × n ) lower triangular matrix has an inverse (a) iff (if and only if) all the n diagonal elements equal 1 (b) iff at least one diagonal element equals 1 (c) iff all the n diagonal elements are nonzero (d) always (e) none of the above 3. The equation below describes the row-reduction of an

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a2_1 - ASSIGNMENT 2 EE441 KUMAR Fall 2007 Due Sep 14 1"A...

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