Test 2-Problem 5 - Nave Gauss elimination for 3 by 3...

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Naïve Gauss elimination for 3 by 3 matrices Starting Matrix -1 2 3 1 A= 4 5 6 b= 2 7 8 -9 -1 Step 2 (Eliminate) -1 2 3 0 13 18 0 22 12 Step 4 (Eliminate) -1 2 3 U= 0 13 18 0 0 -18.46 Verification 1 0 0 -1 2 3 L= -4 1 0 L*U= 4 5 6 -7 1.69 1 7 8 -9 1 1 -0.39 L d1=e1 d1= 4 e1= 0 U*a1(-1)=d1 a1(-1)= 0.33 0.23 0 -0.01 0 0 0.18 L d2=e2 d2= 1 e2= 1 U*a2(-1)=d2 a2(-1)= -0.05 -1.69 0 0.09 0 0 -0.01
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