# Question: i am working on systems of linear equations using matrix...

###### Question details

I am working on systems of linear equations using matrix. My question is what exactly is triangular form and also how do we determine how many solutions a system of equations has? For example, given a matrix like this:

1 -1 0 0 -4

0 1 -3 0 -7

0 0 1 -3 -1

0 0 0 2 4

What would triangular form be and how would I determine how many solutions there are?

Thanks