Computational and algorithmic linear algebra by Murty K.G.

By Murty K.G.

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10: A pizza outlet operates from noon to midnight each day. Its employees begin work at the following times: noon, 2 PM, 4 PM, 6 PM, 8 PM, and 10 PM. All those who begin work at noon, 2 PM, 4 PM, 6 PM, or 8 PM, work for a four hour period without breaks and then go home. Those who begin work at 10 PM work only for two hours and go home when the outlet closes at midnight. On a particular day the manager has estimated that the outlet needs the following number of workers during the various two hour intervals.

762 grams. 1 Dollar Formulate the class’s problem as a system of linear equations. 2 Example applications 17 dollar, and dollar, respectively. 762 Of course, in addition to these equations, we require the variables to be not only nonnegative, but nonnegative integers; but we ignore these requirements for the moment. Example 4: Balancing chemical reactions In a chemical reaction, two or more input chemicals combine and react to form one or more output chemicals. Balancing this chemical reaction deals with the problem of determining how many molecules of each input chemical participate in this reaction, and how many molecules of each output chemical are produced in the reaction.

Together, the theater tickets cost 50% more than the restaurant bill. Then they went for dancing in a nightclub. For the entrance fees here couple C1 paid as much as C2 paid at the restaurant and theater together; and C2 paid as much as C1 paid at the restaurant and theater together. After it was all over, they realized that the evenings program cost them together a total of $750. Formulate a system of linear equations to determine who spent how much at each place, and who spent more overall. 26: Two couples (W1 , H1 ), (W2 , H2 ) met at a weight loss clinic.

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