Question

Goodday,

I need some assistance with the following problem

Let

|a b c|
|p q r| =6
|x y z|


and find

det |a+x b+y c+z|
|3x 3y 3z|
|-p -q -r|

My understanding is I can substitute the value 6 into the det below and then calculate the determinant.

I have done the calculation and it comes to 0.

I am not sure if I am on the right path here.

Thanks