Question

What would the following system of equations look like in augmented matrix form?

x+y=5
3x-y=-1

Answer 1

transforming equation systems into matrix form is fairly simple:
each column represents a variable, and each line represents an equation.
So in the first column, the NUMBERS MULTIPLYING by the X variables are put, in the second one the ones multiplying by Y, etc. The constants go after the vertical line, the last column
so we have:

`\left \{ {{x+y=5} \atop {3x-y=-1}} =\{ {{1x+1y=5} \atop {3x+(-1)y=-1}}\right`
So in a matrix, it will be the one on the picture