3. Show that the basis vectors are linearly independent
4. Given a vector w, state the condition for the vector
w to be a solution of the system.
w will be a solution to the system if the nonhomogenous
system
has a unique solution. The solution will be unique since
the basis vectors are linearly independent.
Show whether w is a solution to the system or not.
6. If w were a solution, can you express it as a different
linear combination of the basis vectors? Why?
No. w can be written as a linear combination of the
basis in one and only one way since the basis vectors
are linearly independent.
1. Find a basis for the solution space of the linear
system
2. State the condition for the basis vectors to be linearly
independent.
