Transcription of Matrix Algebra and Applications - UTEP
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Matrix Algebra and Applications - UTEP
3 Matrix Algebra and Addition andScalar ModelsKey ConceptsReview ExercisesCase Study ExercisesTechnology GuidesCASE STUDYThe Japanese EconomyA senator walks into your cubicle in the Congressional Budget Office. Look here, she says, I don t see why the Japanese trade representative is getting so upset with my proposal to cutdown on our use of Japanese finance and insurance. He claims that it ll hurt Japan s miningoperations. But just look at Japan s input-output table. The finance sector doesn t use anyinput from the mining sector. How can our cutting down demand for finance and insurancehurt mining? How should you respond?173 Jose Fuste Raga/Zefa/CorbisOnline you will find: Section by section tutorials A detailed chapter summary A true/false quiz Additional review exercises A Matrix Algebra tool, game theoryutility, and other 7/17/06 4:24 PM Page 173 IntroductionWe used matrices in Chapter 2 simply to organize our work. It is time we examined themas interesting objects in their own right.
Scalar Multiplication A matrix A can be added to itself because the expression A + A is the sum of two ma- trices that have the same dimensions. When we compute A + A, we end up doubling every entry in A.So we can think of the expression 2A as telling us to multiply every element in A by 2. In general, to multiply a matrix by a number, multiply every entry in the matrix by
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