The adjacency matrix that represents the following graph is: 4
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- Classified Documents A courtroom has 2000 documents, of which 1250 are classified. Each week, 10 of the classified documents become declassified and 20 are shredded. Also, 20 of the unclassified documents become classified and 5 are shredded. Find and interpret the steady state matrix for this situation.Question 13given the adjacency matrices construct the corresponding graphsConsider the adjacency matrix for a graph that is shown below. Answer the following questions by examining the matrix and its powers only, not by drawing the graph. Show your work in a way that makes your reasoning clear. (a) How many walks of length 2 are there from v1 to v3? (b) How many walks of length 3 are there from v1 to v2?
- The area of a triangle is, area = 1/2 x base x height (see Figure 1). Find the area of a group of triangles whose base varies from 1 to 10 m and whose height varies from 2 to 6 m. Choose anappropriate spacing for your calculational variables. Your answer should be a two-dimensional matrixThe number of non-zero entries in the adjacency matrix of the given graph is _____ a. 16 b. 10 c. 6 d. 4(a) Create a graph with six vertices of degrees 2, 2, 2, 3, 4 and 5. Construct the matrix of the graph you created. Show your results clearly.(b) Create a graph with six vertices of degrees 0, 2, 3, 4, 5, and 6. Construct the matrix of the graph you created. Show your results clearly.(c) Create a graph with six vertices of degrees 0, 1, 2, 3, 4, and 5. Construct the matrix of the graph you created. Show your results clearly.
- We want to train a mouse to follow a particular path in the maze (see image 1). To measure the effectiveness of the training, we want to compare the behaviour of the trained mouse to that of a mouse that runs through the maze at random.(a) Construct the matrix T describing the behaviour of the untrained mouse, where tij gives the probability of going to room i when the mouse is in room j. (Note that since the mouse moves randomly if it is in front of two doors, it has a 1/2 probability of going through each of these doors.) (b) Suppose the mouse begins its journey through the maze with a vector of probabilities P(0) = (see image 3) where pi(0) represents the probability of being in room i at the start; so of course we have p1(0)+p2(0)+p3(0)= 1). Show that the probabilities of being in room i after a change of room P(1) are given by P(1)=TP(0). Indications: proceed with a proof on the one hand and on the other hand: start by calculating the probabilities of being in parts 1,2 or 3 after…Request explain this example. The mechanism of how LHS gets converted to rows in RHS matrix is not clearThe reduced order of the expanded matrix (Augmented) given in the figure Obtain the row echelon form by showing the stages one by one.
