(12 marks) Find all pairs (a, b) for which the following system has Exactly one solution...
Solve the system. 7w + 7x + 7y + 7z = -7 2w + 2x + 2y + 5z = -1 w + 2x + y + 2z = 6 If the system has one solution, enter it below. If the system has infinitely many solutions, enter the solution for which the value of each arbitrary variable is set to 9. If the system has no solution, enter "N" for each variable. w= x= y= z=
2. In each of the following, find conditions on a, b, and c (if any) such that the system has (i) no solution, (ii) a unique solution, and (iii) infinitely many solutions. (b) Ix-2y = 4 | 2x +y – z = a 2x +az= 6 2y +3z= b | 3x – 4y + 5z = b IX – cz = 1 [3]
Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 2x - 8y + 5z = 8 x + 2y z = 0 8x - y - z = 23 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {({}).». (Simplify your answers.) B. There are infinitely many solutions. OC. There is...
Use the Gauss Jordan method to solve the system of equations if the system has infinitely many solutions, give the solution with z arbitrary. 2x - y + 5z = -3 x + 2y - 5z = 16 10y + 4z = 36
#5 Determine for which values of the system 3x + 2y x + y +z = 2x + 2y + Az has: 4 p. a) one solution; 4 p. b) no solution. 4 p. c) infinitely many solutions;
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
Help with all of this 1. The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.) 2x − 5y + z = 8 x + 4y − 6z = 4 3x − 4y −...
find the values of the parameters a and b such that the following linear system a) will be inconsistent b) will have infinitely many solutions c) will have exactly one solution 3x-y+2z b +y-2z 0 2x-y+az 4
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 system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 8x – y + 2z = 7 x + 2y - z = -3 2x + 2y - 3z = 2 Select the correct choice below and fill in any answer boxes within your choice. , , }. O A. There is one solution. The solution set is {( (Simplify your answers.) OB. There are infinitely many...