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Documents are not authorized. Show all the steps to get full credit. Determine whether the system...
Documents are not authorized. Show all the steps to get full credit. [ 224] Find the inverse of the following matrix 1 2 1]. Show the steps. 12 4 8
need help on number 13 Exercises 11-16. Represent each linear system in marrix form. Solve by Gauss elimination when the system is consistent and cross-check by substituting your solution set back into all equations. Interpret the solution geometrically in terms planes in R3. of 2x1 +3x2 x3 = 1 4x1 7x2+ 3 3 11. 7x1 +10x2 4x3 = 4 3x1 +3x2+x3 =-4.5 12. x1+ x2+x3 = 0.5 2x-2x2 5.0 x+2x2 3x3 1 3x1+6x2 + x3 = 13 13. 4x1 +8x2...
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 +...
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination method x,+x: + x) = 1 +2x, +4x1 x 19. Solve the linear system of equations using the Gauss elimination method with partial pivoting 12x1 +10x2-7x3=15 6x, + 5x2 + 3x3 =14 24x,-x2 + 5x, = 28 20. Find the LU decomposition for the following system of linear equations 6x, +2x, +2, 2 21. Find an approximate solution for the following linear system of equations...
10) Determine whether the matrix operator is invertible, if so, find its inverse. a)T(x, y) = (3x + 4y, 5x + 7y) b)T(x1, X2 X3) = (x; + 2x2 + 3x3, xz – X3, X; +3x2 + 2x3)
Question 11 In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, x2,...,x) = (0,0,...,0). 9. x– 2x2 = -1 2xy + x2 = 3 11. 2x, – 3x2 = -7 x1 + 3x2 – 10x3 = 9 3x + x3 = 13 10. - x + 4x, = 1 3xı – 2x2 = 2 12. x, + 3x, – x3 = 5 3x1 - x2 = 5 x2 + 2x3 =...
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...
/ 10 pts. Problem No. 2.6 1 + 2 x2 + 4 = + 2x2 + 2 x3 = 1 | x1 +2 x2 + 3x3 = -6 Solve the system of linear equations by modifying it to REF and to RREF using elementary equivalent operations. Show REF and RREF of the system. Matrices may not be used. Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit.
QUESTION 2 Find the LU decomposition of A. Show all your steps to get full credit. W 1113 A= 3 5 7 12 66
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients. 2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.