(123)x=a(adsbygoogle = window.adsbygoogle || []).push({});

(456)y=b

(789)z=c

For which values (a,b,c) does the above equation have a solution where a,b,c,x,y,z belong to R?

Initially I found the determinant of the above matrix and it was O. From this I know that there will be nontrivial solution solutions for (a,b,c) = (0,0,0).

But I am confused as to the possibility of having any other solutions for nonhomogenous system. I know that it will not have a uniques solution. Can any body tell me if there is going to be any other solutions for values of (a,b,c) other than the homogenous one.

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# Solutions to linear equations

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