Question

How to use Cramer's rule in the following matrix:

Answer 1

can't use this equation thing....
1 1 0 -5 x = 2
0 1 -1 3 y = 2
0 1 0 -3 z = 2
0 1 3 4 t = 2

Answer 2

Wouldn't it be more helpful to show the original equations?

Answer 3

These are the original equations, I haven't touched the question, I meant I can't use the equation button ( on here) for a 4x4 matrix.

Answer 4

I found the determinant which is 25 but my problem lies in the fact that I'm used to having a row of x1, x2 and x3, and replace each row ( to find x1 and others) with the resultant one.

Answer 5

Yes, that's what I always thought Cramer's rule was about. (delta determinants, x determinants, etc)

Answer 6

yeah but here I'm stuck because I have x, y , w, and t in a row where I don't know how to deal with the fact that when I replaced a column with the resultant one, which answer will it give me ( now that x 1, x2 , x3 are in a row and not a column) x, y, w, or t

Answer 7

I'm guessing that you are trying to solve 2 unknowns, 3unknowns, etc?

Answer 8

yeah but the question is only asking for x in this case, however I would like to know how to find any of these variable using cramer's ( I could row reduce it / try to)

Answer 9

Here is what I understand about Cramer's rule
http://1728.org/cramer.htm
maybe that will help you (I don't know).
Basically, it discusses solving for 2 or 3 unknowns.

Answer 10

Thanks :) Still stuck with the same problem, their row is one variable where mine is 4 :/ but thanks for the link! ill try with it.

Answer 11

Gee thanks.
It's getting late here (Boston)
Think I'd better get some sleep.