Topic on Linear Algebra .

Question

Which of the following statements is correct ?

1) The solution of 0x+0y = 0 is x= 0 and y= 0

2) (-1;2;4) is a solution of 2x+2y+2z = 10 and 2x-z = 2

please assist.

Answer 1

As written, neither is correct.

1) Tells you nothing about x or y. It is fair to say that x = 0, y = 0 is *a* solution of 0x+0y = 0. But all values of x and y are solutions of 0x+0y = 0.

2) (-1; 2; 4) does not satisfy 2x - z = 2.