adapt the gauss elimination code to use pivoting row swamps

adapt the gauss elimination code to use pivoting. row swamps should be done if the pivot is smaller than 10^-10 in absolute value. use this code to solve this linear system

0 1 4 x1 = 8

2 4 6 x2 = 15

5 6 0 x3 = 5

also solve this system using the backslash operator. your code should give the same answer as backslash.

Solution

let the pivot is x

x < 10^-10

x1 = 8/4=2

x2 = 15/12

= 1.33

x3 = 5/11

this is solve by backslash operator

all above are separately solve

for x1,x2,x3