Linear Algebra and Its Applications · Problem 2.5.3

Vector Spaces — Gilbert Strang

Mathematics · graphs-and-networks

Problem

Show directly from the rows that every vector ff in the row space will satisfy f1+f2+f3=0f_1 + f_2 + f_3 = 0. Derive the same thing from the three equations ATy=fA^T y = f. What does that mean when the ff's are currents into the nodes?

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