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Solve the following system of equations by Crout's Method 2x – 4y + z = 4, 6x + 2y – z = 10, -2x + 6y – 2z = -6 2 %3D %3D -4 4 -1 10 -2 6. -2. 9-1 [41 l22 [131 U12 U13 1 Step 1: A = LU = |l21 U23 l32 l33] Lo 1 Step 2: [41 121 21412 + l22 131 l31412 + l32 131u13 + l32U23 + l33] 41412 l11413 l21u13 + l22u23 -4 1 6. (-2 -1 6. -2]

Solve the following system of equations by Crout's Method 2x – 4y + z = 4, 6x + 2y – z = 10, -2x + 6y – 2z = -6 2 %3D %3D -4 4 -1 10 -2 6. -2. 9-1 [41 l22 [131 U12 U13 1 Step 1: A = LU = |l21 U23 l32 l33] Lo 1 Step 2: [41 121 21412 + l22 131 l31412 + l32 131u13 + l32U23 + l33] 41412 l11413 l21u13 + l22u23 -4 1 6. (-2 -1 6. -2]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Example Solve the following system of equations by Crout's Method 2x – 4y + z = 4, 6x + 2y – z = 10, -2x + 6y – 2z = -6 1 %3| -4 4 6. 2 -1 10 [-2 6. -2. [9- [41 Step 1: A = LU = l21 l22 [131 JETI [1 И12 и13 1 U23 1 l32 l33] Lo Step 2: [41 121 l21u12 + l22 [131 131412 + l32 l31413 + l32u23 + l33] l11412 l11u13 l21u13 + l22u23 -4 11 6. 2 -1 = -2 6. -2]
Transcribed Image Text:Example Solve the following system of equations by Crout's Method 2x – 4y + z = 4, 6x + 2y – z = 10, -2x + 6y – 2z = -6 1 %3| -4 4 6. 2 -1 10 [-2 6. -2. [9- [41 Step 1: A = LU = l21 l22 [131 JETI [1 И12 и13 1 U23 1 l32 l33] Lo Step 2: [41 121 l21u12 + l22 [131 131412 + l32 l31413 + l32u23 + l33] l11412 l11u13 l21u13 + l22u23 -4 11 6. 2 -1 = -2 6. -2]
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