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8. [8] If 21, 22, 23) are the #sick,immune, unexposed) to the coronavirus, and 1 =...
numerical analysis QUESTION 2 Consider the linear system 21 0.52 21 + 22 23 0.2533 23 0.2 -1.425 2 0.5.22 + whose solution is (0.9, -0.8, 0.7). (a) Determine whether the coefficient matrix is strictly diagonally dominant. (5)
9. (a) Let P1(21, 91, zı), P2 (22, 42, z2),P3 (13, 93, 23) be three non-collinear points in R, that is, three points which do not all lie on a straight line. Then the equations of the plane through these three points is: 2 y 21 1 = 0 22 Y2 22 1 2 1 2141 I3 Y3 23 1 Page 1 (b) Find the equation of the plane through P1(1,2,2), P2(1, 2, -1), P3(0,1,2)
1. Which of the following sets are linear spaces? a) {X = (21, 22, 23) in R’ with the property 11 – - 2x3 =0} b) The set of solutions of Az = 0, where A is an mxn matrix. c) The set of 2 x 2 matrices A with det(A) = 0. d) The set of polynomials p(x) with S-, p(x) dx = 0. e) The set of solutions y = y(t) of y' + 4y' +y = 0.
Assignment 1-2019 1. X: 23 22 44 12 25 24 16 50 42 21 21 36 23 22 41 Y: 50 50 50 50 50 49 43 44 48 47 46 8 3 4 2 P: 5 3 5 7 12 5 43 15 17 11 48 50 41 12 50 a) Make a frequency distributions for data set x and i=1 b) Combine set x, y and p and make a grouped frequency distribution (use i = 4, first bin 2-5). c) Using the same data and distribution add a column that shows the proportion frequency and the relative frequency (%) d) add a further column that shows the cumulative frequency. 2. Use the following grouped frequency distribution to answer the following questions. Score f...
Find th e Equilibrium vector for each transition matrix 1/4 3/4 8 .2 1/2 1/2 .1 9 Find th e Equilibrium vector for each transition matrix 1/4 3/4 8 .2 1/2 1/2 .1 9
1. Basic Game Theory (21 points) Consider the following game Player Top Bottom Left 21, 23 22. 16 Player 2 Right 20, 24 19. 18 A. (6 points) Does player 2 have a dominant strategy. If yes, describe it B. (9 points) Can this game be solved by the elimination of dominated strategy? If yes, describe your method and result in detail C. (6 points) Now suppose there is some change to the payoff matrix, find the Nash equilibrium for...
Problem 3. Let 21, 22, 23, 41, 42, y3 be some real numbers, and let A= (1 12 13 (41 42 43); Prove (slowly) that dim (ker(A)) > 2 # dim (col(A)) <1 # dim (raw(A)) <1 + X1y2 = 91.22, x1y3 = y123, 22y3 = 42.23. Show that dim(col(A)) = dim(raw(A)) = 3 - dim(ker(A)).
Problem 8: 21 22 12 a. Find the zy that corresponds to the shaded area ai = 0.15 under the standard normal curve. [5 points) b. Find the 22 that corresponds to the shaded area 42 = 0.11 under the standard normal curve. (5 points] Problem 7: ^ -1 1 2 3 a. Find the area under the standard normal curve to the left of z = -1.8. [5 points) b. Find the area under the standard normal curve between...
n du Consider the data set below: 22 12 21 22 S = 19 45 20 30 37 34 44 23 26 33 70 54 40 48 23 17 22 56 38 17 21 16 33 41 84 43 27 65 34 19 100 34 48 29 54 16 43 33 8934 43 31 37 77 43 43 Problem 1 (a) Make a stem and leaf display of S. (b) Calculate the mean I = 2 (c) Calculate the 10%-trimmed...
DU .U . U U . 1). . . . 20. B={(-3, 2), (8, 4); and B' ={(-1.2), (2,-2); are two bases for R (a) Find the transition matrix from B' to B. (b) Find the transition matrix from B to B'. (c) let [V]8. = [-] find [V]