How do we use Gaussian Elimination to solve systems of equations?
In: Mathematics
Guardian elimination is essentially addition and subtraction
A good way to look at it is our decimal system. You could write a 3 digit number as an equation.
So you could have
1x + 2y + 3z = 123
And
1x + 2y + 4z = 124
In these cases we can see x=100, y=10 and z= 1
So you subtract these 2 and you end up with 0x + 0y + 1z = 1.
I’m a math teacher! Just taught this this year.
You need to get all the leading 1s in the matrix. Then write equations and back-sub to find the values of the variables.
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