Question

linear algebra mapping

Let F : R 3 → R 3
be a linear mapping . Determine the imaging matrix F of the vector (1, 0 , -1)
depicted at ( 2 , 2, 1 ) , (0 , 1, 2 ) depicted in ( 1 , 2, 1 ) and ( 1, 1, 0) is mapped onto itself.