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Clarence
 one year ago
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Given that the determinant of the 3x3 matrix of (left to right, top to bottom) (a, 1, 1)(b, 2, 1)(c, 3, 1) is 9, find the exact value of x when ax+y+z=1,bx+2y+z=2 and cx+3y+z=3.
I've already figured out from the matrix that a+2bc=9, what should I do now?
Clarence
 one year ago
For the question: Given that the determinant of the 3x3 matrix of (left to right, top to bottom) (a, 1, 1)(b, 2, 1)(c, 3, 1) is 9, find the exact value of x when ax+y+z=1,bx+2y+z=2 and cx+3y+z=3. I've already figured out from the matrix that a+2bc=9, what should I do now?

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clarence
 one year ago
Best ResponseYou've already chosen the best response.0\[\left[\begin{matrix}a & 1 & 1 \\ b & 2 & 1 \\ c & 3 & 1\end{matrix}\right]\]

clarence
 one year ago
Best ResponseYou've already chosen the best response.0I think I've worked it out, isn't it just 8/9?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, 8/9 is correct for x. Cramer's rule?

clarence
 one year ago
Best ResponseYou've already chosen the best response.0Yup, seemed like the only way to work out the question, thanks for the confirmation!
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