Exercise 2

Provide a justification for your response to the following questions.

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

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

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