For each of the following lists of vectors in ℝ³, consider the list of vectors (a) (-2, 0, 3) , (1, 3, 0) , (2, 4, -1) . Determine whether the first vector (-2, 0, 3) can be expressed as a linear combination of the other two.
a) Yes, there exists constants k and m such that (-2, 0, 3) = k(1, 3, 0) + m(2, 4, -1)
b) No, it is not possible to express (-2, 0, 3) as a linear combination of the other two vectors.
c) Insufficient information to determine.
d) Not applicable.