Note that for the following question you should use technology to do the matrix calculations. Consider a graph with the following adjacency matrix: 0100 0 1 110011 0 01 0 11 00 0 11 1 01 1 10 0 Assum...
DI Question 6 2 pts Consider the following Truth table 000 0| 0 000 11 00 10| 0 00 1 11 0100|1 01 0 11 0 01 1 0 | 0 01 1 1| 0 100 0 | 0 100 1| 1 10 1010 10 1 1| 1 11 001 O 11 0 1 1 0 Fill the following K-map 01 2 Select ▼ | [Select] 01 sect] | ▼ | [Select] ▼ | [Select] [Select] f11 15 | ▼...
Please answer A and B 1. Consider the following adjacency matrix representing vertices v through v^: weighted graph containing a ro 5 0 0 8 0 61 5 0 0 7 0 0 0 jo 0 0 0 0 1 3| 0 7 0 0 2 0 0 8 0 0 0 0 1 0 0 0 4 L6 0 3 0 0 4 0- 20 0 0 a. Draw the graph resulting from the adjacency matrix b. Assuming the...
Exercise 1 Adjacency Matrix In this part, you will implement the data model to represent a graph. Implement the following classes Node.java: This class represents a vertex in the graph. It has only a single instance variable of type int which is set in the constructor. Implement hashCode() and equals(..) methods which are both based on the number instance variable Node - int number +Node(int number); +int getNumberO; +int hashCode() +boolean equals(Object o) +String toString0) Edge.java: This class represents a...
6) Below is an adjacency matrix for an undirected graph, size n- 8. Vertices are labeled 1 to 8 Rows are labeled 1 through 8, top to bottom. Columns are labeled 1 through 8, left to right. Column labels to the right: 1 2 345 6 78 Row labels are below this: 1 0 0 1 000 0 0 2 0 0 101 1 00 (See a drippy heart?) 3 1 1 0 1 01 0 0 4 0 0...
discrete math a. Consider the following rooted tree: 7 10 11 12 i. What is the root? (1 marks) ii. What is the height of the tree? (1 marks) iii. What are the children of the vertex 3? (1 marks) a. Draw the directed graph corresponding to the adjacency matrix (2 marks) [1 0 0 ON 1 2 1 b. Using the adjacency matrix in (a) only, determine the number of walks of length 3 from each vertex to each...
(1 point) Consider the following Gauss-Jordan reduction 1 0 0 200 → -2 0 01-11 00|→ 9 1 01 .10 1 01-1 E1A E2E1A E4E3E2E1A Find E2 as a product AEE E of elementary matrices 2 0 0 Write A as a product A- E EE'Eof elementary matrices 1 2 3 4 91 31
Request solve following question from coding theory d)Lethe binary code with generator matrix 01 0 1 0 0 0 1010 0 00 G 1 0011 00 0 0 0 1 1 Give another generator matrix for%" that shows that 'C is the direct sum of two binary codes. Identify the codes of which is a direct sum (Hint: Use row operations.) d)Lethe binary code with generator matrix 01 0 1 0 0 0 1010 0 00 G 1 0011 00...
AB 00 01 11 10 CD 00 0 0 4 1 12 1 8 1 01 1 1 5 1 13 1 9 1 11 3 1 7 0 15 0 11 0 10 2 0 6 0 14 0 10 1 Simplify F(A, B, C, D) using the zeros of the k-map to get F`, then use De Morgan’s formula to get F in product of sums and select the one that matches it from the following; a-...
Problem 1 Write your code in the file MatrixOps.java. . Consider the following definitions from matrix algebra: A vector is a one-dimensional set of numbers, such as [42 9 20]. The dot product of two equal-length vectors A and B is computed by multiplying the first entry of A by the first entry of B, the second entry of A by the second entry of B, etc., and then summing these products. For example, the dot product of [42 9...
please answer both questions thank you! How many rows and columns must a matrix A have in order to define a mapping from R into R by the rule T(x) Ax? Choose the correct answer below OA. The matrix A must have 7 rows and 7 columns. O B. The matrix A must have 9 rows and 7 columns OC. The matrix A must have 9 rows and 9 columns O D. The matrix A must have 7 rows and...