- #1

fluidistic

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## Homework Statement

I must describe implicitly the set of the vectors (b_1, b_2, b_3) such that the system has a solution.

x-y+2z+w=b_1

2x+2y+z-w=b_2

3x+y+3z=b_3.

**2. The attempt at a solution**

Playing with matrices I got that 0=b_3-b_1-b_2, so that I think that the system has solution for all b_1, b_2 and b_3 such that b_1=b_3-b_2.

Am I right? Also, did I describe the set of vectors implicitly? Ah maybe I should write (b_3-b_2, b_2, b_3), for all b_2 and b_3.