Problems
Let
can be written as
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Differential Equations and Linear Algebra (4th Edition)
- 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].arrow_forward(a) How do Gaussian elimination and Gauss-Jordan elimination differ? (b) Use Gauss-Jordan elimination to solve the linear system in part 3(d).arrow_forwardDistribution 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?arrow_forward
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