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Suppose the incidence matrix of A is given by V V2 V3 A = -1 0 0 -1 1 -1 0 1 0 0

Suppose the incidence matrix of A is given by V V2 V3 A = -1 0 0 -1 1 -1 0 1 0 0 0 1 1 V4 -1 -1 edge 1 edge 2 edge 3 edge 4 edge 5 (a) Find a basis for the row space. Find a tree. (5pts) (b) Find a basis for the left nullspace. Find 2 loops. (5pts)

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a To find a basis for the row space of A we row reduce A to reduced row echelon form 0 0 ... blur-text-image

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