###### Exercise 8

Provide a justification for your responses to the following questions.

If every entry in one row of a matrix is zero, what can you say about the determinant?

If two rows of a square matrix are identical, what can you say about the determinant?

If two columns of a square matrix are identical, what can you say about the determinant?

If one column of a matrix is a linear combination of the others, what can you say about the determinant?