Let
v1 = (2， 3， 0， 0) v2 = (0，0， 1，1)
v3 = (1， 0， 0， 4) v4 = (0， 0， 0， 2)
and show that (v1， v2， v3， v4) form a basis for R4. Find the coordinates of each of the standard basis
vectors of R4, in terms of the basis (v1， v2， v3， v4). Recall that the coordinates of a vector u with
respect to a basis (v1， v2， v3， v4) are the unique coefficients (x1, x2, x3, x4) such that
v = x1v1 + x2v2+x3v3 + x4v4:
