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 Notes[A][C] = [B]where[ A ]=⎡200⎢⎢⎢⎣ 1015112⎤12− 1⎥⎥⎥⎦⎡I⎢⎢⎢⎣I1⎤⎥⎥⎥⎦[ C ] = I and [ B][ C ] = [A]−1 [ B]23⎡ 80⎤= 120⎢⎢⎢⎣ 0⎥⎥⎥⎦[ ]−A 1[ C ]==⎡−⎢⎢⎢⎣⎡−⎢⎢⎢⎣0.03750.01670.02080.03750.01670.0208− 0.01670.04440.0278− 0.01670.04440.02780.2500⎤0.3333− 0.4167⎥⎥⎥⎦0.2500⎤⎡ 80⎤0.3333 120− 0.4167⎥⎥⎥⎦ ⎢⎢⎢⎣ 0⎥⎥⎥⎦[ C]=⎡II⎢⎢⎢⎣I123⎤⎥⎥⎥⎦=⎡1⎤4⎢⎢⎢⎣5⎥⎥⎥⎦Therefore, I 1 = 1 A, I 2 = 4 A and I 3 = 5 A.Pages 17 <strong>of</strong> 21
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