(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the system:

ax1+3x2+x3= y1

ax2= y2

-5x1+ax2-x3=y3

using cramer's rule for those a such that the det of A is not 0

2. Relevant equations

x1= det(A1)/det(A)

det(A1)=a11+c11+a21c21+a31c31

and A1=

y1 3 1

y2 a 0

y3 a 1

3. The attempt at a solution

By using those equations I got the det(A1) to go ay1+(-3+a)y2-ay3

and the det(A) was a[itex]^{}2[/itex]-5a

and x1=(ay1+(-3+a)y2-ay3)/a[itex]^{}2[/itex]-5a

But that was counted wrong. I don't understand where I went wrong since I have doublechecked my calculations

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Algebra Cramer's Rule

**Physics Forums | Science Articles, Homework Help, Discussion**