##### Exercise2

Provide a justification for your response to the following questions.

1. Suppose you have a set of vectors $$\vvec_1,\vvec_2,\ldots,\vvec_n\text{.}$$ Can you guarantee that $$\zerovec$$ is in $$\span{\vvec_1\,\vvec_2,\ldots,\vvec_n}\text{?}$$

2. Suppose that $$A$$ is an $$m \times n$$ matrix. Can you guarantee that the equation $$A\xvec = \zerovec$$ is consistent?

3. What is $$\span{\zerovec,\zerovec,\ldots,\zerovec}\text{?}$$

in-context