Find a basis for the subspace of R^3 consisting of all vectors [x_1, x_2, x_3] such that -4x_1 + 9x_2 + 4x_3 = 0.
Hint: Notice that this single equation counts as a system of linear equations; find and describe the solutions.
To enter a basis into WeBWorK, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is {[1, 2, 3], [1, 1, 1]}, then you would enter [1,2,3], [1,1,1] into the answer blank.