Have som problem solving this problems in MATHEMATICAL METHODS 2.
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explain this problems?
Problem 2. Find the values of the parameters a and p for which the system x+5y = 6, has: (i) a unique solution, (ii) infinitely many solutions, (iii) no solutions. Hint: Use the following fact: a system with as many unknowns as equations has a unique solution if and only if its coefficient matrix is invertible. See Lecture 22 and Homework 8 for examples
Problem 4. Compute the determinants below. In order to reduce the amount of calculations, try to choose the most suitable method for each determinant. 1 0 0 1 2 3 (iii) 1 4 5 1 3 6 1 0 45 (0 0 5 4 (0 2 6 31 (iv) 1 0 1
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Have som problem solving this problems in MATHEMATICAL METHODS 2. Can someone help me solve and ...
Please help me for all problems 1, 2, 3, 4, 5 1. (Three points.) Convert this...
Please help me for all problems 1, 2, 3, 4, 5
1. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x+7y + 5z 13 -2y + 2z-6 2. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x-5y +z=-13 2x -y-3z5 3. (Four points.) Find the value a that will make the matrix of coefficients for this system singular and the value b that will give the system infinitely many solutions...
Solve the following system of equations. Let Z be the parameter. Solve the following system of...
Solve the following system of equations. Let Z be the
parameter.
Solve the following system of equations. Let z be the parameter. 2x + 3y - Z=2 3x + 5y +z = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution, 100. B. There are infinitely many solutions. The solution is OC. There is no solution. - 2 + 8z|2 - 5z2), where z is...
Solve the system. If a system has ope unique solution, write the solution set. Otherwise, determine...
Solve the system. If a system has ope unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 2x+3y+5z=-23 -4x+2y+4z=9 -6x=y+13z=-5 Select one: a{(-1, -2, -3) b. Infinitely many solutions, dependent a. No solution, inconsistent
Type or paste question here 6. Solve the system of equations. If there is no solution,...
Type or paste question here
6. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. S 9x + 6y = -30 | 7x – by = -34 7. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. 2x + 3y = 5 | 4x + 6y = 6
Let A e Rmxn. The linear system Ax = b can have either: (i) a unique...
Let A e Rmxn. The linear system Ax = b can have either: (i) a unique solution, (ii) no solution, or (iii) infinitely many solutions. If A is square and invertible, there is a unique solution, which can be written as x = A-'b. The concept of pseudoinverse seeks to generalise this idea to non-square matrices and to cases (ii) and (iii). Taking case (ii) of an inconsistent linear system, we may solve the normal equations AT Ar = Ab...
Numbers 6,7, and 8 please A) (24,-2) 6)[y=5x + 7 y=8x + 6 A) infinitely many...
Numbers 6,7, and 8 please
A) (24,-2) 6)[y=5x + 7 y=8x + 6 A) infinitely many solutions C) no solution (1 26) 3' 3 26 1 Solve the system of equations. 7) y=4x+1 3y-9x = 15 A) (17, 4) C) l(x, y)ly B) (4, 17) D) ø 4x +1) 8) 3x +8y -2 2x+5y =-7 A) (-46, 17) B)(-46-17 C) (17,-46) D) (-17,46)
use linear algebra methods to solve only please 2. Find the value(s) of a (if they...
use linear algebra methods to solve only please
2. Find the value(s) of a (if they exist) for which the system of equations has: (a) No solution. (b) One unique solution. (c) Infinitely many solutions. x + y - z = 2 x + 2y + z = 3 2x + y - 4z = a
Solve the system of equations. If the system has no solution, say that it is inconsistent....
Solve the system of equations. If the system has no solution, say that it is inconsistent. 4x + 2y + z = 2 | 15x + 3y = 0 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. 8 3 O A. The solution is x= y= and z= (Type integers or simplified fractions.) OB. There are infinitely many solutions. The solutions set is {(x.y.z) | x = 0, y = z is...
A linear system may have a unique solution, no solution, or infinitely many solutions
A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the type of the system for th following examples by U , N , or I7x+3y= pi 4x-6y= pi^2 2x+3y= 0 4x+6y= 0 2x+3y=1 4x+ 6y= 1x+y=5 x+2y=102x-3y=5 4x-6y=10
help with solving questions 2 and 3 Solve 2x + 3y + 5z = 2 3x...
help with solving questions 2 and 3
Solve 2x + 3y + 5z = 2 3x - 2y + z = 1 4x + 5y - 2z = 3 Solve 5x^2 + 3x + 4 = 0
Please help me for all problems 1, 2, 3, 4, 5
1. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x+7y + 5z 13 -2y + 2z-6 2. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x-5y +z=-13 2x -y-3z5 3. (Four points.) Find the value a that will make the matrix of coefficients for this system singular and the value b that will give the system infinitely many solutions...
Solve the following system of equations. Let Z be the
parameter.
Solve the following system of equations. Let z be the parameter. 2x + 3y - Z=2 3x + 5y +z = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution, 100. B. There are infinitely many solutions. The solution is OC. There is no solution. - 2 + 8z|2 - 5z2), where z is...
Solve the system. If a system has ope unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 2x+3y+5z=-23 -4x+2y+4z=9 -6x=y+13z=-5 Select one: a{(-1, -2, -3) b. Infinitely many solutions, dependent a. No solution, inconsistent
Type or paste question here
6. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. S 9x + 6y = -30 | 7x – by = -34 7. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. 2x + 3y = 5 | 4x + 6y = 6
Let A e Rmxn. The linear system Ax = b can have either: (i) a unique solution, (ii) no solution, or (iii) infinitely many solutions. If A is square and invertible, there is a unique solution, which can be written as x = A-'b. The concept of pseudoinverse seeks to generalise this idea to non-square matrices and to cases (ii) and (iii). Taking case (ii) of an inconsistent linear system, we may solve the normal equations AT Ar = Ab...
Numbers 6,7, and 8 please
A) (24,-2) 6)[y=5x + 7 y=8x + 6 A) infinitely many solutions C) no solution (1 26) 3' 3 26 1 Solve the system of equations. 7) y=4x+1 3y-9x = 15 A) (17, 4) C) l(x, y)ly B) (4, 17) D) ø 4x +1) 8) 3x +8y -2 2x+5y =-7 A) (-46, 17) B)(-46-17 C) (17,-46) D) (-17,46)
use linear algebra methods to solve only please
2. Find the value(s) of a (if they exist) for which the system of equations has: (a) No solution. (b) One unique solution. (c) Infinitely many solutions. x + y - z = 2 x + 2y + z = 3 2x + y - 4z = a
Solve the system of equations. If the system has no solution, say that it is inconsistent. 4x + 2y + z = 2 | 15x + 3y = 0 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. 8 3 O A. The solution is x= y= and z= (Type integers or simplified fractions.) OB. There are infinitely many solutions. The solutions set is {(x.y.z) | x = 0, y = z is...
help with solving questions 2 and 3
Solve 2x + 3y + 5z = 2 3x - 2y + z = 1 4x + 5y - 2z = 3 Solve 5x^2 + 3x + 4 = 0
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