SOLUTION: Without exp anding , prove that the following det er min atnts vanish ., |{{ b - c , c - a , c },{ c , b - x , a },{ c , a , c - x }}| = zero

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Without exp anding , prove that the following det er min atnts vanish ., |{{ b - c , c - a , c },{ c , b - x , a },{ c , a , c - x }}| = zero      Log On


   

Question 1206040: Without exp anding , prove that the following det er min atnts vanish ., |{{ b - c , c - a , c },{ c , b - x , a },{ c , a , c - x }}| = zero
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

There might be a typo with your question.

I plugged this into WolframAlpha
https://www.wolframalpha.com/input?i=determinant+%7B%7B+b+-+c+%2C+c+-+a+%2C+c+%7D%2C%7B+c+%2C+b+-+x+%2C+a+%7D%2C%7B+c+%2C+a+%2C+c+-+x+%7D%7D
and the result it produces is
-a^2b+3ac^2-acx+b^2c-b^2x-2bc^2+bx^2-c^3+3c^2x-cx^2

Unfortunately, none of those terms cancel out so the whole thing does not go to zero.
I would carefully double-check to make sure you did not make an error typing in the expression. Also, I recommend contacting your teacher for further clarification.