E parameter s for which the system has a unique solution, and describe the solution. 9) Determine...
3. (12 pts.) Use Cramer's Rule to determine the values of the parameter s for which the system below has a unique solution, and describe the solution. 5 8.2 3x + + 12 7822 = =
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. x1+ax2−x3 = 2 −x1+4x2−2x3 = −5 −2x1+3x2+x3 = −4 No Solutions: Unique Solution: Infinitely Many Solutions:
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. ax1−5x2+5x3 = 10 −3x1+4x2−x3 = −9 x1+2x2+7x3 = −6 when does it have.... No Solutions: 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
Determine all values of the constant k for which the following system have; a) No solution b) Infinite number of solutions x1 + 2x2 –x3 = 3 2x1 + 5x2 +x3 = 7 x1 + x2 –k2x3 = -k
10. Determine the values of k for which the system of linear equations has (i) no solution vector, (ii) a unique solution vector, (iii) more than one solution vector (x, y, z): (a) kx+ y+ z= (b) 2x + (k-1)y + (3-k)2-1 2y + (k-3): = 2 x+ky + z = 1 -2y+ x 2x + ky- z =-2 (c) x + 2y + k= 1 (d) -3z =-3 10. Determine the values of k for which the system of...
4. Use Cramer's rule to determine the values of s for which the system has a unique solution and then write the solution in terms of s. 3811 + 2x2 2.1 + 8.12 = 7 =-4
In the final profit maximizing solution for the problem, which constraint(s) has(have) a slack/surplus variable(s) equal to zero? Given the following LP, answer questions 9-14 Z 10x+7x Maximize Subject to: 5x+3x15 2x1+3x22 12 x2 х, хз 20 Con 1 Con 2 Con 3 3 2 4 5 10 X1 Both constraints # 1 and # 2 Constraint #1 Constraint #2 Constraint #3 None of the above гоо How many surplus variables would appear in the standard formulation of the problem?...
Solve the system. If the system has one unique solution, write the solution set. Otherwise, determine the number of solution the system, and determine whether the system is inconsistent, or the equations are dependent. - 3x -Y -3z = 11 3x +3y-6z = -18 2x +2y +3z = 5 Submit Act
Closed loop Controller - Dynamical System Consider the following continuous non-linear dynamical system: x1 = (11-2x1)ex1 2(2x1-4x2)e*z The system is driven by the following closed-loop controller: 1. For all values of K, find the equilibrium points of the closed loop system, i.e. find the equilibrium point as K varies between-co and +co 2. Consider the origin of the system. Determine the character of the origin for all values of the parameter K. Determine specifically for what values of K the...