Linear Equations: Solutions Using
Determinants with Two Variables
Asquarearrayofnumbersorvariablesenclosedbetweenvertical
linesiscalledadeterminant.Adeterminantisdifferentfromamatrix
inthatadeterminanthasanumericalvalue,whereasamatrixdoes
not.Thefollowing
Linear Equations: Solutions Using
Determinants with Three Variables
Thedeterminantofa22matrixisdefinedasfollows:
Thedeterminantofa33matrixcanbedefinedasshowninthe
following.
Eachminordeterminantisobtainedbycrossingoutthefirstcolumn
andonerow.
Example1
Eva
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In the SaaS model software is deployed as a hoste
Cloud Infrastructure has physical
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Cloud environment are Distributed/scattered
PaaS
Platform as a Service is a category of cloud computing that provides a platform and
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PaaS allows users to create software applications using tools supplied by the pr
heard of 3 models of Cloud
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Public Cloud
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IaaS (Infrastructure as a Service)
2
BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
PaaS (Platform as a Service)
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BITS Pilani, Deemed to be University und
Storage as a Service
Enterprises may also need to store objects on behalf of their customers.
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Linear Equations: Solutions Using
Elimination with Three Variables
Systemsofequationswiththreevariablesareonlyslightlymore
complicatedtosolvethanthosewithtwovariables.Thetwomost
straightforwardmethodsofsolvingthesetypesofequationsareby
eliminationandbyusi
Linear Equations: Solutions Using
Matrices with Three Variables
Solvingasystemofequationsbyusingmatricesismerelyan
organizedmannerofusingtheeliminationmethod.
Example1
Solvethissystemofequationsbyusingmatrices.
Thegoalistoarriveatamatrixofthefollowingform
Linear Equations: Solutions Using
Matrices with Two Variables
Amatrix(plural,matrices)isarectangulararrayofnumbersor
variables.Amatrixcanbeusedtorepresentasystemofequationsin
standardformbywritingonlythecoefficientsofthevariablesandthe
constantsintheequat
Linear Equations: Solutions Using
Elimination with Two Variables
Tosolvesystemsusingelimination,followthisprocedure.
Arrangebothequationsinstandardform,placinglikevariables
andconstantsoneabovetheother.
Chooseavariabletoeliminate,andwithaproperchoiceof
mu
Linear Equations: Solutions Using
Graphing with Two Variables
Example1
Solvethissystemofequationsbygraphing.
Tosolveusinggraphing,graphbothequationsonthesamesetof
coordinateaxesandseewherethegraphscross.Theorderedpairat
thepointofintersectionbecomesthesol