Solution Found!
Let A denote the incidence matrix of the disconnected graph shown in Figure 5.3. Use the
Chapter 3, Problem 2(choose chapter or problem)
QUESTION:
Let A denote the incidence matrix of the disconnected graph shown in Figure 5.3. Use the geometry of the graph to answer the following. a. Give a basis for N(AT). b. Give a basis for N(A). c. Give the equations y must satisfy if y = Ax for some x.
Questions & Answers
QUESTION:
Let A denote the incidence matrix of the disconnected graph shown in Figure 5.3. Use the geometry of the graph to answer the following. a. Give a basis for N(AT). b. Give a basis for N(A). c. Give the equations y must satisfy if y = Ax for some x.
ANSWER:Step 1 of 5
The graph in figure 5.3 is given below.
Corresponding incidence matrix is
Then,
To find the basis for the null space of , let us solve the equation
The row reduced echelon form of is