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Prove (in general) that any point on the line segment connecting two distinct optimal solutions of...
4. (a) Find a second order linear equation which has y as two of its solutions....
4. (a) Find a second order linear equation which has y as two of its solutions. 3e2-2e3and y2--7e+ sin(10t) as one of its (b) Find a second order linear equation which has y solutions. (c) Find two second order linear equations (there are infinitely many) which are satisfied by y- Ce (note this function would not be the general solution of either equation, it only represents some of the possible solutions for each).for any constant C.
1. (6 points) Find an optimal solution for the following transportation problem using the minimal...
1. (6 points) Find an optimal solution for the following transportation problem using the minimal cost method and the transportation algorithm: Minimize lahi + 2x12 + 2x13 + 4x21 + 3x22 + 4x23 + 4x31 + 1x32 + 3x33, subject to the constraints X11 + X12 + X13 = 100. x21 +x22 +x23 = 50. r31 + 232 +x33 100 x11 + 2'21 +2'3,-150. 12 22+32-50 x13 + x23 + x33-50. for all i, j = 1.2.3. xij > 0,...
1- Admits a unique solution. 2- Admits no solution. 3- Admits infinitely many solutions. PROBLEM 2...
1- Admits a unique solution. 2- Admits no solution. 3- Admits infinitely many solutions. PROBLEM 2 (25%) : Give an example of a linear transformation L from the vector space M2x2 into M2x3. 1- Find a basis for Ker L and deduce whether L is one to one. 2- Find a basis for Range L and deduce whether L is onto. 3- Show that L is not an isomorphism from the vector space M2x2 into M2x3- 4 Could you prove...
3. 1-10 are True/False questions, Please write True (T) or False (F) next to each question...
3. 1-10 are True/False questions, Please write True (T) or False (F) next to each question 11-20 are multiple choice questions, Please circle the correct answer for each question.(20) 1. The linear programming approach to media selection problems is typically to either maxim The use of LP in solving assignment problems yields solutions of either O or 1 for each An infeasible solution may sometimes be the optimal found by the corner point method the number of ads placed per...
(1 point) (Note: This problem has several parts. The latter parts will not appear until after...
(1 point) (Note: This problem has several parts. The latter parts will not appear until after the earlier parts are completed correctly.) Solve the following system of linear equations: 12x 33y - 3z12 Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 3 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F....
.3. Let A and B be distinct points. Prove that for each real number r E (-00, oo) there is exactl...
.3. Let A and B be distinct points. Prove that for each real number r E (-00, oo) there is exactly one point on the extended line AB such that AX/XB- r. Which point on AB does not correspond to any real number r? 4. Draw an example of a triangle in the extended Euclidean plane that has one ideal vertex. Is there a triangle in the extended plane that has two ideal vertices? Could there be a triangle with...
I need help with this problem. Any help would be appreciated thank you REAL NUMBERS AND...
I need help with this problem. Any help would be
appreciated thank you
REAL NUMBERS AND LINEAR EQUATIONS Solving equations with zero, one, or infinitely many solutions For each equation, choose the statement that describes its solution. If applicable, give the solution. -8(u + 1) = 2(1 - 4u) - 9 30 몸 No solution v=0 All real numbers are solutions -6(x + 1) + 8x = 2(x - 3) No solution x= 0 All real numbers are solutions Explanation...
Please prove this solution and explain why y2 can be taken as (x^2)(y1) Problem 2. Find the general solution of the equation Note that one of two linearly independent solutions is yi(r) -e. Solution....
Please prove this solution and explain why y2 can be taken as
(x^2)(y1)
Problem 2. Find the general solution of the equation Note that one of two linearly independent solutions is yi(r) -e. Solution. Using Abel's formula, we get the following relations for the Wronskian dW pi dW 2r1 On the other hand, Comparing these two expression for W(x), we can take y2 :- r2yı. Correspondingly, the general solution is
Problem 2. Find the general solution of the equation Note...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
2019 Summer I 270 Exam 1A Take Home Due at 1120 on 20190520 Write down a system of six distinct linear equations in the unknowns x1, X2、Xy, and x4, in R4 such that: 0 exactly two of the unknowns...
2019 Summer I 270 Exam 1A Take Home Due at 1120 on 20190520 Write down a system of six distinct linear equations in the unknowns x1, X2、Xy, and x4, in R4 such that: 0 exactly two of the unknowns 1 x2, 3, and x4 occur in each of them with non-zero real coefficients 1 the system has exactly one solution: χ,-c, and x,-d respectively. a, X2-b, Xy Prove that your answer is correct; otherwise, you will get 0 on this...
4. (a) Find a second order linear equation which has y as two of its solutions. 3e2-2e3and y2--7e+ sin(10t) as one of its (b) Find a second order linear equation which has y solutions. (c) Find two second order linear equations (there are infinitely many) which are satisfied by y- Ce (note this function would not be the general solution of either equation, it only represents some of the possible solutions for each).for any constant C.
1. (6 points) Find an optimal solution for the following transportation problem using the minimal cost method and the transportation algorithm: Minimize lahi + 2x12 + 2x13 + 4x21 + 3x22 + 4x23 + 4x31 + 1x32 + 3x33, subject to the constraints X11 + X12 + X13 = 100. x21 +x22 +x23 = 50. r31 + 232 +x33 100 x11 + 2'21 +2'3,-150. 12 22+32-50 x13 + x23 + x33-50. for all i, j = 1.2.3. xij > 0,...
1- Admits a unique solution. 2- Admits no solution. 3- Admits infinitely many solutions. PROBLEM 2 (25%) : Give an example of a linear transformation L from the vector space M2x2 into M2x3. 1- Find a basis for Ker L and deduce whether L is one to one. 2- Find a basis for Range L and deduce whether L is onto. 3- Show that L is not an isomorphism from the vector space M2x2 into M2x3- 4 Could you prove...
3. 1-10 are True/False questions, Please write True (T) or False (F) next to each question 11-20 are multiple choice questions, Please circle the correct answer for each question.(20) 1. The linear programming approach to media selection problems is typically to either maxim The use of LP in solving assignment problems yields solutions of either O or 1 for each An infeasible solution may sometimes be the optimal found by the corner point method the number of ads placed per...
(1 point) (Note: This problem has several parts. The latter parts will not appear until after the earlier parts are completed correctly.) Solve the following system of linear equations: 12x 33y - 3z12 Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 3 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F....
.3. Let A and B be distinct points. Prove that for each real number r E (-00, oo) there is exactly one point on the extended line AB such that AX/XB- r. Which point on AB does not correspond to any real number r? 4. Draw an example of a triangle in the extended Euclidean plane that has one ideal vertex. Is there a triangle in the extended plane that has two ideal vertices? Could there be a triangle with...
I need help with this problem. Any help would be
appreciated thank you
REAL NUMBERS AND LINEAR EQUATIONS Solving equations with zero, one, or infinitely many solutions For each equation, choose the statement that describes its solution. If applicable, give the solution. -8(u + 1) = 2(1 - 4u) - 9 30 몸 No solution v=0 All real numbers are solutions -6(x + 1) + 8x = 2(x - 3) No solution x= 0 All real numbers are solutions Explanation...
Please prove this solution and explain why y2 can be taken as
(x^2)(y1)
Problem 2. Find the general solution of the equation Note that one of two linearly independent solutions is yi(r) -e. Solution. Using Abel's formula, we get the following relations for the Wronskian dW pi dW 2r1 On the other hand, Comparing these two expression for W(x), we can take y2 :- r2yı. Correspondingly, the general solution is
Problem 2. Find the general solution of the equation Note...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
2019 Summer I 270 Exam 1A Take Home Due at 1120 on 20190520 Write down a system of six distinct linear equations in the unknowns x1, X2、Xy, and x4, in R4 such that: 0 exactly two of the unknowns 1 x2, 3, and x4 occur in each of them with non-zero real coefficients 1 the system has exactly one solution: χ,-c, and x,-d respectively. a, X2-b, Xy Prove that your answer is correct; otherwise, you will get 0 on this...
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