Answer to Question #313545 in Linear Algebra for kayla

Question

Which of the following is the solution of the equation below?

0x + 0y = 0.

1. (0, 0, 0).

2. (1, 0, 0).

3. No such solution exists.

4. Infinitely many solution or (−1, 2, 1)

Answer 1

4 is the right answer. Infinitely many solutions. This is because 0x+0x=0 represents single equation whose solution is the whole set of all points in the plane.