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(4 pts) Choose the true statement. Let a E Z. If 12|a”, then 12|a. Let a...
(4 pts) Choose the true statement. Let a,b,c e Z with a #0. If a|(b + c) and a|bc, then a|(+ c´). Let a,b,c e Z with a +0. If a|(62 +c), then a|(b+c). Let a, b, ce Z with a + 0. If a|(b+c), then aſb or a|c. Let a,b,c e Z with a +0. If a|(62 +c) and a|(b+c?), then a|(+ c´). the four other possible answers are false
Choose the true statement. There exists a graph with 7 vertices of degree 1, 2, 2, 3, 4, 4 and 5, respectively. the four other possible answers are false There exists a bipartite graph with 14 vertices and 13 edges. There exists a planar and connected graph with 5 vertices, 6 edges and 4 faces. There exists a graph with 5 vertices of degree 2, 3, 4, 5 and 6, respectively.
Choose the true statement. If a graph G admits an Eulerian path, then G is connected. If a graph G admits an Eulerian path, then G admits a Hamiltonian path. If a graph G admits a Hamiltonian path, then G admits an Eulerian path. the four other possible answers are false If a graph G is connected, then G admits an Eulerian path.
Question 4 10 pts Look at the weighted graph and choose the TRUE answers below (do not choose any FALSE answers) 1 B 4 4 2 5 D E 4 F 7 The graph has a minimal spanning tree of weight more than 15 The graph has a minimal spanning tree of weight less than 18 The graph has a Hamiltonian circuit ☺ ☺ ☺ ☺ The graph has an Euler circuit This graph is bipartite.
Let Xn z e Zz nk for some k ezy (İs It (mu. Possibly D. P 5. (4 points of 100) Is 4 E X24? False C. True 6. (4 points of 100) Is 4 e (X3n X4)? False C. Possibly D. True 7. (4 points of 100)Is 4 E (X3 U X4)? A) True B. False C. Possibly D. 8. (4 points of 100) What is (X3 n X4)? 9. (4 points of 100) What is (X2nXanxs)? Let Xn...
4. (15 pts.) Let A E Rmxn, and let z be a solution to least squares problem min, Ax-bll2. Shovw that 4. (15 pts.) Let A E Rmxn, and let z be a solution to least squares problem min, Ax-bll2. Shovw that
10 [6 pts] True or False. Explain yo ur answer Vz E Z, Vy E Y,Hr X, P(,y, z (a)E X,Vy e Y,Vz E Z, P(x,y, z) (b) V E X,y E Y,Vz e Z, P(æ, y, z) Vz E Z, y E Y, Vax € X, P(æ, y, z) 10 [6 pts] True or False. Explain yo ur answer Vz E Z, Vy E Y,Hr X, P(,y, z (a)E X,Vy e Y,Vz E Z, P(x,y, z) (b) V E...
(e) none of the above 6. True or false, 2 pts each. If the statement is ever false, circle false as your answer. No work is required, and no partial credit will be given. (a) f(a, b) points in the direction of greatest increase of f at (a,b). TRUE FALSE (b) If a and b are three-dimensional vectors, then so is a b. TRUE FALSE (C) For any two vectors a and b, a + b = a + bl....
Part A. (True/False Questions) (15 pts). Decide if the given statement is true or false. (Justify briefly your answer) 1. The eigenvalues of the matrix A = -5 6 are: 5 and -4. O True False 2. Let A= 2 -4 be a square matrix. The vector v= [ is an eigenvector of the matrix A. 2 True False 3. If I = -4 is an eigenvalue of a 5 x 5 matrix A, then Av = -4v for any...
Question 22 4 pts In the statement: Int'. p and q are pointer variables. True False D Question 23 4 pts If a user-defined class object that uses mathematical operators to pass to the template function, the class must contain code for the primitive data types the constructor the overloaded operators the try/catch blocks Question 24 4 pts Afriend function is a function that is not part of a class but has access to the class's private members as well...