###### Exercise 2

Provide a justification for your response to the following questions.

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

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

What is \(\span{\zerovec,\zerovec,\ldots,\zerovec}\text{?}\)