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Combining 0,,,@ and, we get 21+1X2t0.X3+0.24t0.X5=100 1-メ、十1ス2-1スるせ0.X4 -1.X5 =0 -1-2+0X2tdる+0ス4t1 5 =50 0.X」-1ス2+0x3t1スatス5=120 OXitd2 +1dg-1A +1-ス5ニ0 we can write the System of lihear equatib as 100 २ 82 %3D 50 23 I- 24 120 15 う A x =B 2. where T- 1. I- 5ス5 Xニ こ and 23 50 120 25/5X1 ー○

Combining 0,,,@ and, we get 21+1X2t0.X3+0.24t0.X5=100 1-メ、十1ス2-1スるせ0.X4 -1.X5 =0 -1-2+0X2tdる+0ス4t1 5 =50 0.X」-1ス2+0x3t1スatス5=120 OXitd2 +1dg-1A +1-ス5ニ0 we can write the System of lihear equatib as 100 २ 82 %3D 50 23 I- 24 120 15 う A x =B 2. where T- 1. I- 5ス5 Xニ こ and 23 50 120 25/5X1 ー○

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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1) Turn matrix A into reduced matrix 

2) Identify the free and basic variables of the system

 

Combining 0,,O,4 and, we get 221+1X2t0.2g+0X4+0X5こ100 1.2、+1ス2-ト2g t0,Xg -1. X5 ニ10 -1-2+022tdgto1X4t1ス5 =150 0.X,-1ス2+ロx3+1ス4+ス5=120 we can write the System of liheare equation l100 よ2 ニ 50 23 120 1. X5 A x = B 2. where A I- 545 こ and 23 24 50 120 25/5X1 1.
Transcribed Image Text:Combining 0,,O,4 and, we get 221+1X2t0.2g+0X4+0X5こ100 1.2、+1ス2-ト2g t0,Xg -1. X5 ニ10 -1-2+022tdgto1X4t1ス5 =150 0.X,-1ス2+ロx3+1ス4+ス5=120 we can write the System of liheare equation l100 よ2 ニ 50 23 120 1. X5 A x = B 2. where A I- 545 こ and 23 24 50 120 25/5X1 1.
5. Compute the solution to the original system of equations by transforming y into x, i.e., compute x = U-'y. 6. Check your answer for X1 using Cramer's Rule.
Transcribed Image Text:5. Compute the solution to the original system of equations by transforming y into x, i.e., compute x = U-'y. 6. Check your answer for X1 using Cramer's Rule.
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