Numerical Solutions of Linear Systems of Equations
Numerical Solutions of Linear Systems of Equations
Numerical Solutions of Linear Systems of Equations
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EE 216 Class NotesSolve the following set <strong>of</strong> linear equations.x 1 + x 2 + x 3 = 2 … … (1)2x 1 + 5x 2 + 3x 3 = 11 … … (2)- x 1 + 2x 2 + x 3 = 3 … … (3)Exercise SetsSolve the following sets <strong>of</strong> linear equations by Gaussian elimination, Gauss-Jordanelimination, Cramer’s rule and matrix inversion.(1)4x − x + x = 8(2)2x1112+ 5xx + 2x223+ 2x+ 4x33= 3= 11x − x13x112− 3xx + x2+ 3x23+ x3= 2= −1= 3(3)1x41x31x21111+ x51+ x4+ x2221+ x61+ x5+ 2x333= 8= 9= 8(4)2x11− x1− 3xx + x2+ x22− x+ x33= 4− 3x3= 6= 5(5)2x + 3x− x = 4(6)112x1− 2x2+ x3= 6x −12x+ 5x= 102332x− x1= −1x1+ x2+ 3x3= 03x+ 3x+ 5x= 412+ x233#21
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