# Question for null space of a matrix

### Question for null space of a matrix

Let A be a 4×3 matrix and let
$$c=2a_{1 }+a_{2}+a_{3}$$

(a) If N(A) = {0}, what can you conclude about the solutions to the linear system $$Ax = c$$?

(b) If N(A) ≠ {0}, how many solutions will the system $$Ax = c$$ have? Explain.
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