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Five households share a deep well for their water supply. Each household owns a few

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 69 Chapter 1.2

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 69

Five households share a deep well for their water supply. Each household owns a few ropes of a certain length, which varies only from household to household. The five households, A, B, C, D, and E, own 2, 3, 4, 5, and 6 ropes, respectively. Even when tying all their ropes together, none of the households alone are able to reach the water, but As two ropes together with one of B\s ropes just reach the water. Likewise, Bs three ropes with one of Cs ropes, Cs four ropes with one of Ds ropes, Ds five ropes with one of Es ropes, and Es six ropes with one of As ropes all just reach the water. How long are the ropes of the various households, and how deep is the well? Commentary: As stated, this problem leads to a system of 5 linear equations in 6 variables; with the given information, we are unable to determine the depth of the well. The Nine Chapters gives one particular solution, where the depth of the well is 7 zhang,'5 2 chi, 1 cun, or 721 cun (since 1 zhang = 10 chi and 1 chi = 10 cun). Using this particular value for the depth of the well, find the lengths of the various ropes.

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Chapter 9 Section 3 SNOW DAY PRESENTATION 02/24/2016 Chapter 9 Section 3 Terminology:  Space- is an undefined term (like point, line and plane)  Dihedral angle- angle formed when 2 planes meet  Parallel- if the line doesn’t intersect the plane  Perpendicular- if the line if intersects and...

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Chapter 1.2, Problem 69 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Five households share a deep well for their water supply. Each household owns a few

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