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:
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or inf...
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.2x1−4x2+2x3 = 6−3x1+6x2−2x3 = −11ax1−6x2+6x3 = 4So far I was able to change it into matrix 2 -4 2 | 6-3 6 -2 | -11a -6 6 | 4What would...
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.) x1 + 2x2 + 6x3 2 x1 + x2 + 3x3 = 1
Write the system of linear equations in the form Ax = b and solve this matrix equation for x. x1 – 2x2 + 3x3 = 24 -X1 + 3x2 - x3 = -11 2x1 – 5x2 + 5x3 = 42 X1 x2 = X3 ] 24 -11 42 [ x
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
Use MATLAB to solve question 7 For the following system of linear equations, use MATLAB of solution or no solution exists. Accordingly, take the appropriate action. Explain your answers 1. to determine whether a unique solution, infinite numbe 3X1 + 4X2 + 2X3-X4 + χ5 + 7x6 + x,-42 2X1-2X2 + 3x3-4X4 + 5X5 + 2x6 + 8x7-32 x1 + 2x2 + 3x3 +x4 + 2x5 + 4x6 + 6x7 = 12 5x1 + 10x2 + 4x3 + 3x4 +9X5-2X5...
1) Solve the following system of linear equations using a Gauss Elimination Method (5 pts) 5x1 + 5x2 + 3x3 = 10 3x1 + 8x2 – 3x3 = -1 4x1 + 2x2 + 5x3 = 4
Solving a 2x2 system of linear equations that is inconsistent or... Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. The system has a unique solution: x + 4y - 8 = 0 -x - 4y = 8 (y= 00 The system has infinitely many solutions. They must satisfy the following equation: The system has no solution. x + 4y =...
Solve the system. X1 - 3x3 = 13 4x7 + 4x2 + x3 = 29 2x2 + 4x3 = -4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ). O A. The unique solution of the system is ( (Type integers or simplified fractions.) O B. The system has infinitely many solutions. O C. The system has no solution.