Solve the following system of equations using the Gaussian algorithm with column pivoting:   a + 2b + c + 3d = 1       2a + 5b + 3c + d = 0         a + 6b + 2c + 2d = 1  a + 4b + c + d = 0.      I know I have to switch first line and 2. Since the "2" in the first column is the new pivotelement.   I am struggling with what to do afterwards.    I know the solution is supposed to be:  a= -1,b=0,c=1/2,d=1/2    How do I get there?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the following system of equations using the Gaussian algorithm with column pivoting: 
 a + 2b + c + 3d = 1     
 2a + 5b + 3c + d = 0       
 a + 6b + 2c + 2d = 1
 a + 4b + c + d = 0.
 
 
 I know I have to switch first line and 2. Since the "2" in the first column is the new pivotelement. 
 I am struggling with what to do afterwards.
 
 I know the solution is supposed to be:
 a= -1,b=0,c=1/2,d=1/2
 
 How do I get there?

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