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Solutions for Introduction to Linear Algebra | 4th Edition | ISBN: 9780980232714 | Authors: Gilbert Strang 9780980232714

Solution for problem 37 Chapter 3.2

Kirchhoff's Law says that current in = current out at every node. This network has six

Introduction to Linear Algebra | 4th Edition


Problem 37

Kirchhoff's Law says that current in = current out at every node. This network has six currents Yl, ... ,Y6 (the arrows show the positive direction, each Yi could be positive or negative). Find the four equations Ay = 0 for Kirchhoff's Law at the four nodes. Find three special solutions in the nullspace of A.

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Parallelogramole a 7 I j i Components LetP Cxy and Q xz.gr Draw vectorJ EQ y ie l J Xa Xi y ga g yz p y y The components of v cerev Xa Xi and v ya ly Then I v cuz yr 9 J v 27 µ x Magnitudeof J Gl Five I'lllengthmagnitudefvector u µ 4 U2 1412 uz Ui U s Any vector 8 oflength1 Gil c is l ful lil JI

Chapter 3.2, Problem 37 is Solved

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Kirchhoff's Law says that current in = current out at every node. This network has six