SOLUTION: The determinant of a matrix [a, b, c, d] is equal to ad-bc. If [x-y, 3, x-y,3] = k, then what must k be equal to in order for x=y to be true?

Algebra ->  Matrices-and-determiminant -> SOLUTION: The determinant of a matrix [a, b, c, d] is equal to ad-bc. If [x-y, 3, x-y,3] = k, then what must k be equal to in order for x=y to be true?      Log On


   

Question 1084104: The determinant of a matrix [a, b, c, d] is equal to ad-bc. If [x-y, 3, x-y,3] = k, then what must k be equal to in order for x=y to be true?
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
The determinant of the matrix

%28matrix%282%2C2%2C+x-y%2C3%2C+x-y%2C3%29%29

is always zero for any values of x and y.


Can you make your conclusions from this fact ?? 

    The conclusion is: the value of "k" is identically zero independently of values of x and y.