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

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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

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