Let
be a
basis
of a three-dimensional
-vector space
.
a) Show that
is also a basis of .
b) Determine the
transformation matrix
.
c) Determine the transformation matrix .
d) Compute the coordinates with respect to the basis for the vector, which has the coordinates with respect to the basis .
e) Compute the coordinates with respect to the basis for the vector, which has the coordinates with respect to the basis .