1. For the 3-node triangular graph in the figure following, write the 3 by 3 incidence matrix A. Find a solution to Ax = 0 and describe all other vectors in the nullspace of A. Find a solution to ATy = 0 and describe all other vectors in the left nullspace of A. edge 1 node 2 node 1 edge 2 edge 3 node 3 x2 Y1 Y4 x1 Y5 X4 Y3 Y6 Y2 x3

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.4: Translations
Problem 3C
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1. For the 3-node triangular graph in the figure following, write the 3 by 3 incidence
matrix A. Find a solution to Ax = 0 and describe all other vectors in the nullspace of
A. Find a solution to A¹y = 0 and describe all other vectors in the left nullspace of
A.
edge 1
node 2
node 1
edge 2
edge 3
node 3
x2
Y1
Y4
x1
Y5
X4
Y3
Y6
Y2
x3
Transcribed Image Text:1. For the 3-node triangular graph in the figure following, write the 3 by 3 incidence matrix A. Find a solution to Ax = 0 and describe all other vectors in the nullspace of A. Find a solution to A¹y = 0 and describe all other vectors in the left nullspace of A. edge 1 node 2 node 1 edge 2 edge 3 node 3 x2 Y1 Y4 x1 Y5 X4 Y3 Y6 Y2 x3
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