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3.2-Solving Systems of Linear Equations Using Matrices The Gauss-Jordan Elimination Method Start with a system of linear equations (this class solves up to a 3 x 3 system). °± + ²³ = ´± + µ³ = ²1.Write the augmented matrix corresponding to the linear system. 1 ¶°²´·µ²¸2.Perform the following row operations to solve this problem. Row Operations examples: 1. Interchange any two rows. -53131221RR↔-3125312. Replace any row by a nonzero constant multiple of itself. --82431222RR21→----4123123. Replace any row by the sum of that row and a constant multiple of any other row. -312531221RRR2→++ +---770531First step to solving system using Gauss-Jordan The sequence of row operations that transforms the augmented matrix into the equivalent matrix in which the 1stelement is a 1 ¶°²´·µ²¸so the 2 needs to be a 1. You must use only the row operations from above.
3.2-Solving Systems of Linear Equations Using Matrices 2 To change the column 1 12