New here, have an assignment concerning Cramer's rule which I think I have a decent understanding of - I can use it to find determinants - but am a little lost on a few questions.(adsbygoogle = window.adsbygoogle || []).push({});

Given the set of linear equations:

a11 x1 + a12 x2 + a13 x3 = 0

a22 x2 + a23 x3 = 0

a33 x3 = 0

assume D = 0 (determinant), this implies that at least 1 of a22 or a33 is 0. show if x !=0 then D != 0

My try:

when I do D I get -> (a11 a22 a33), but if a22 or a33 is 0, then D=0. So I'm not sure what is going on here as if a33 = 0 then x3 can be anything, implying x!=0?

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

Dismiss Notice

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!

# Help using Cramer's rule to show properties of determinants

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