# The Span and Uniqueness of Solutions in a Parametric Matrix

$$A = \begin{pmatrix} 2 & -1 & 4 \\ a & 0 & b \\ 1 & 2 & 7 \end{pmatrix} $$

a) Decide if the rows in *A *would span $\mathbb{R}^{3} $ when *a* = 1 and *b* = 3

b) Let *a* = 2 and *b* = 0. Explain how Ax = b has exactly one solution for every $b \in \mathbb{R} ^{3}$. Give a simple, short formula for the solution.

Bradz

41

The answer is accepted.

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