- #1
GimB0id
- 3
- 0
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.
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?
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?