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 NoteswhereD =aaa112131aaa122232aaa132333D =1bbb123aaa122232aaa132333D =2aaa112131bbb123aaa132333D =3aaa112131aaa122232bbb123Let us consider the following set <strong>of</strong> linear equations.2x 1 – 4x 2 + 5x 3 = 36 … … (1)- 3x 1 + 5x 2 + 7x 3 = 7 … … (2)5x 1 + 3x 2 – 8x 3 = - 31 … … (3)[A][x] = [B]where[ A]=⎡−⎢⎢⎢⎣235− 4535⎤7− 8⎥⎥⎥⎦⎡ x⎢⎢⎢⎣x1⎤⎥⎥⎥⎦[ x]= x and [ B]23=⎡ 36⎤7⎢⎢⎢⎣−31⎥⎥⎥⎦Pages 11 <strong>of</strong> 21
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