Linear Algebra and Its Applications · Problem 2.5.1

Vector Spaces — Gilbert Strang

Mathematics · graphs-and-networks

Problem

For the 3-node triangular graph in the figure, 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

A^T y = 0

and describe all other vectors in the left nullspace of

A