For each of the following four problems, decide whether or not {P, Q, R}spans R3. To show that it does, you will need to

[answerhappygod]

For each of the following four problems, decide whether or not{P, Q, R}spans R3.To show that it does, you will need to show how an arbitrary pointA := (a, b, c) can be expressed as a linear combination of {P,Q, R}, that is, for every choice of A there exist x,y and z suchthatA = xP + yQ + zR.
1. Let P = (1, 0, 0), Q = (0, 5, 0), R = (0, 0, −2).2. Let P = (1, 0, 1), Q = (0, 1, 0), R = (1, 1, 1).3. Let P = (2, 0, 1), Q = (1, −1, 1), R = (0, 3, 2).4. Let P = (1, −1, 2), Q = (3, 1, 5), R = (3, 5, 4).
Do it as proof problem.