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I'm trying to figure out an example from my Linear Algebra Book:

The question is as follows:

Find the equation of the plane passing through the points P1(1,2,-1), P2(2,3,1) and P3(3,-1,2)

It goes on to say it must satisfy this system, which is fine:

1 + 2b - c + d = 0

2a + 3b + c + d = 0

3a - b + 2c + d = 0

Then it just says, "solving for this system gives [tex]a=\frac{9}{16}t, b=-\frac{1}{16}t, c= \frac{5}{16}t, d=t[/tex] "

To solve this system, would one include the d's in the matrix or leave them out?

What method would you recommend for solving this? (and then I can give it a shot)

Thanks in advance!

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# Equation of a plane (General and Point-Normal Form)

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