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 3x1 + x2 = 10x1 - 3x2 = 03x1 + x2 = 10x1 - 3x2 = 04x1 - 2x2 = 10x1 - 3x2 = 03x1 + x2 = 10 x1 x2 = 0-3+ 9"Tools"InterchangeScalingRow Addition“Basic”augmented matrix311-3100elementary row operationsRow Echelon Form (REF)Reduced Row Echelon Form (RREF)110130110110/31/3elementaryrowoperationselementaryrowoperations[unique][not unique]Gaussian eliminationGaussian elimination and other Concepts
[1] Linear Algebra Lecture 8: Solving System of Linear Equations (part 1)
[2] Linear Algebra Lecture 9: Solving System of Linear Equations (part 2)