7.5 There are 5 cities. The cost of building a road directly between i and j is the entry aijin the matrix below. An indefinite entry indicates that the road cannot be built. Draw anappropriate graph and determine the least cost of making all the cities reachable from eachother. Make sure to indicate what method you used and what steps you took to arrive atyour solution.651503303 ∞203008911 95 11 9198078 1081070

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Answered: 7.5 There are 5 cities. The cost of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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By using the method of least squares, find the best parabola through the points: (-1,-3). (1,3). (-2,-3). (0,-3) Step 1. The general equation of a parabola is c₂+₁+c₂2²-3. Plugging the data points into this formula gives a matrix equation Ac=y. 1 ATA- ATy= 1 Step 3. Solving the normal equation gives the answer -8 which corresponds to the formula a Step 2. The matrix equation Ac=y has no solution, so instead we use the normal equation A¹A = A¹y O 0 3
7. [-/7.5 Points] DETAILS Orow-echelon form O reduced row-echelon form O neither Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. (Select all that apply.) 1000 0115 LO000 Need Help? Read It 8. [-/7.5 Points] DETAILS LARLINALG8 1.2.019. 1 2 0 1 6 0 1 2 17 0012 4 0 0 0 1 5 (X1, X2, X3, X4) = Watch It MY NOTES LARLINALG8 1.2.017. MY NOTES ASK YOUR TEACHER ASK YOUR TEACHER PRACTICE ANOTHER Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and solve for X1, X2, and x3 in terms of t.) PRACTICE ANOTHER
In old growth forest of Douglas Fir, (type of a tree), the spotted Owl dines mainly on Rats. Suppose the predator-pry matrix for these two population is -[*] [-0.275 3] Find the long term population's of the owls and rats growth rate. a. The population of owls will decrease to zero at a rate of 60% while the population of rats will increase indefinitely, this is a flaw in closed ecosystem models. XK 0.3 -0.275 1.8 b. The long term growth of both population of owls and rats is 75% The population of owls and rats will reach equilibrium of 11 thousand rats to every 2 owls C. d. The population of both rats and owls will eventually die out. e. The population of owls and squirrels will reach equilibrium of 6 thousand rats to every owl
Q4 Needed to be solved correctly in 20 minutes in the order to get positive feedback please provide me hundred percent correct answer in the order to get positive feedback Hundred percent efficiency needed please
10. Suppose A is the n x n zero matrix (where all entries of A are zero), describe the solution set of A = b %3D
7. What are the correct steps to transform the augmented matrix of the following system of equations into reduced echelon form using the Gauss-Jordan elimination algorithm? SHOW WORK, STEP BY STEP. -3x - 6y = 6 -2x + 5y = 4
Q1// Solve the following assignment matrix which lead to reduced costs with the total cost calculation. (Using Hungarian Method) Machine Worker M1| M2 | Мз | М4 W1 6. 8 9 3 W2 10 7 8 13 W3 9 2 13 15 W4 10 4 7 8
Here is the optimal tableau for a Max LP 2 X1 3 81 82 63 rhs 1 0 0 0 10 10 280 0 0 0 1 5/2 -8 24 0 0 -2 1 0 3/2 -4 8 0 1 1.25 0 0 -0.5 1.5 2 1. For the B-matrix method what is the first row of B-¹ X2 5 row3 = -2 column1 = enter fractions like so 7/2 with no extra spaces 2. After calculating B (i.e. the inverse of B-¹) the original column has values: row1 = b1 = column2 = ; b2 = row2 = 3. Using B-matrix method, the original rhs vector bhad these coordinate values: ; and b3 = Hint: remember new rhs equals B-¹ times original rhs, so ...? column3 =
29. Construct a 3 x 3 matrix, not in echelon form, whose m3 columns span R³. Show that the matrix you construct has the at nomo desired property.

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