Chapter 1 Matrices and Systems of Linear Equations
And 1Matrices and Systems of Linear Equations : Introduction to Matrices and Systems of Linear Equations : Echelon Form and Gauss-Jordan EliminationLectureLinear Algebra - Math 2568Mon Friday, January 11, 2013Oguz KurtMW Hrs:MWF 10:20-11:20The Ohio State University and and and EquationsDefinitionAlinear equationin thenvariablesx1,x2, ,xnis an equation thatcan be written in the forma1x1+a2x2+ +anxn=bwhere thecoefficientsa1,a2, ,anand theconstant : 3x+4y+5z=12 is +y=1,siny+x=10 are a Linear equationa1x1+a2x2+ +anxn=bis a vector[s1,s2,...,sn]whose components satisfy the equation when wesubstitutex1=s1,x2=s2.
§ 1.1 and§1.2 1.4 Systems of Linear Equations (SLEs) Definition A system of linear equations is a finite set of linear equations, each with the same variables. A solution of system of linear equations is a vector that is simultaneously a solution of each equation in the
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