A system of linear equations with variables ¤1, x2, x3, 14, and az results in the following ReducedRow-Echelon form (RRE form) of the augmentation matrix.[i -3 0 0 40 1 0 20 0 0 1-–6-1Lo 0 0 0 03(a) What are the basic variables in this system of linear equations?(b) Write the solution set for this system of linear equations as a linear combination of it's basic solutions.(c) Is z1 = 13, x2 = 2, x3 = 5, x1 = -7, x5 = -1 a solution to this system of linear equations. Be sureto justify your answer.

Answered: Image /qna-images/answer/cc82b9e5-f0ea-4fa2-960c-77b56511a6ed.jpg

[1 -3 0 0 10 2 0 1 0 0 0 4. 3 -6 -1 What are the basic variables in this system of linear equations? Nrite the solution set for this system of linear equations as a linear combination of it's basic solutions. s z1 = 13, x2 = 2, x3 = 5, x1 = -7, I5 = -1 a solution to this system of linear equations. Be sure o justify your answer.

[1 -3 0 0 10 2 0 1 0 0 0 4. 3 -6 -1 What are the basic variables in this system of linear equations? Nrite the solution set for this system of linear equations as a linear combination of it's basic solutions. s z1 = 13, x2 = 2, x3 = 5, x1 = -7, I5 = -1 a solution to this system of linear equations. Be sure o justify your answer.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 3CC

See similar textbooks

Similar questions

Distribution of Cash An ATM at a bank in Qualicum Beach, British Columbia, dispenses $20 and $50 bills. Brodie withdraws $600 from this machine and receives a total of 18 bills. Let x be the number of $20 bills and y the number of $50 bills that he receives. (a) Find a system of two linear equations in x and y that express the information given in the problem. (b) Write your linear system as a matrix equation of the form AX=B . (c) Find A1 , and use it to solve your matrix equation in part (b). How many bills of each type did Brodie receive?
One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a system of linear equations to determine how many liters of each solution are required to obtain the desired mixture. Solve the system using matrices.
Industrial System An industrial system has two industries with the input requirements below. (a) To produce 1.00 worth of output, Industry A requires 0.20 of its own product and 0.30 of Industry Bs product. (b) To produce 1.00 worth of output, Industry B requires 0.10 of its own product and 0.50 of Industry As product. Find D, the input-output matrix for this system. Then solve for the output matrix X in the equation X=DX+E, where E is the external demand matrix E=[40,00080,000].
Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $300 allocated for the centerpieces and wants each centerpiece to contain 12 flowers, with twice as many roses as the number of irises and lilies combined. (a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system. (b) Solve your system of linear equations using an inverse matrix. Find the number of flowers of each type that the florist can use to create the 10 centerpieces.