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 | = | −11 |
ax1−6x2+6x3 | = | 4 |
So far I was able to change it into matrix
2 -4 2 | 6
-3 6 -2 | -11
a -6 6 | 4
What would be my following sets to solve for 'a'?
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 following system of equations using LU decomposition with partial pivoting:2x1−6x2–x3=−38,−3x1–x2+6x3=−34,−Solve the following system of equations using LU decomposition with partial pivoting:2x1−6x2–x3=−38,−3x1–x2+6x3=−34,−8x1+x2−2x3=−40
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 +...
Convert the given linear system to an augmented matrix and then find all solutions. Write the solutions in parametric form. 2x1 + 6x2 − 9x3 − 4x4 = 0 −3x1 − 11x2 + 9x3 − x4 = 0 x1 + 4x2 − 2x3 + x4 = 0
Write a program in Matlab that solves linear systems of equations using Gauss elimination with partial pivoting. Make sure that you use variables that are explicit, and make sure to include comment lines (each subroutine should have at least a sentence stating what it does). Make sure that your program checks for valid inputs in matrix and vectors dimensionality. • Using your code, solve the systems of equations in problems 9.11, 9.12, and 9.13 9.11 9.12 9.13 2x1-6x2-X3 =-38 We...
Solve the following system of linear equations: 3x1+6x2−9x3+6x4 = 6 −x1−2x2+8x3+3x4 = −17 2x1+4x2−3x3+7x4 = −4 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
Help with system of linear equations. Question 11 [10 points] Solve the following system of linear equations 2x1-4x2 2x3+4x46 2x1+5x2+x3-5x4 12 x1+3x2+x3-6x 11 -2x1+6x2-x3-2x4 -14 if the system has You can The system has no solution no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. appropriate) by clicking and dragging the bottom-right corner of the matrix. Row-echelon form of augmented matrix: 0 0 0 Official Time: 16:52:07 SUBMIT AND MARK
[-/1 Points] DETAILS ROLFFM8 2.2.052. Solve the following system of equations by reducing the augmented matrix. X1 + 3x2 - x3 + 2x4 -3 - 3x1 + X2 + x3 + 3x4 = -2 2x3 + X4 = - 4x4 = -6 2X1 4x2 2X2 1 (X1, X2, X3, X4) = D) Need Help? Talk to a Tutor
For the following system of equations 2x1 -X2 + X3 15 2x1- x3-3 3X1 + 6X2-2x3 =-10 a. (2 pts) Write the linear system in the format, Ax b. b. (6 pts) Determine the adjoint matrix of the matrix A. c. (2 pts) Determine the inverse matrix using the adjoint matrix of part b. d. (2 pts) Verify your results for the inverse matrix obtained in c. e. (2 pts) Solve the system of equations using the inverse matrix verified...