Answer
The answer is below.
Work Step by Step
If these two equations are dependent, this means that they are the same equation, but one is multiplied by some constant $k$. Thus, when we find the determinant of the matrix, we will find:
$$a_1b_2-b_1a_2$$
However, since the two equations are dependent, $a_1b_2\ and\ b_1a_2$ will be equal, so the expression above will evaluate to zero.
