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?

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

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