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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 19EQ: For Exercises 19 and 20, determine the currents for the given electrical networks. 19.

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1. Consider the network (G, w) with
V(G)= {a, b, c, d, e, f},
E(G)= {ab, ac, ad, ae, af, bc, bd, be, bf, cd, ce, cf, de, df, ef},
and
w(ab) = 9,
w(ac) = 8,
w(ad) = 12,
w(ae) = 3,
w(af) = 15,
w(bc) = 5,
w(bd) = 6,
w(be) = 13,
w(bf) = 10,
w(cd) = 4,
w(ce) = 14,
w(cf) = 2,
w(de) = 16,
w(df) = 11,
w(ef) = 7.
(a) Use Kruskal's algorithm to find a minimum spanning tree of (G, w). List the
edges of the tree in the order in which they are added, and draw the tree.

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