(1) Draw the vectors
on a graph.
(2) The vectors
are linearly dependent. Explain why.
(3) Suppose the vectors
are linearly independent. Write the meaning of this as a
vector equation, and then write the vector equation as a
matrix equation.
(4) The vectors
must be linearly dependent. Give a reason.
(5) Use your answer to (4) to deduce that the polynomials
must be linearly dependent.