Let T: R3 - R3 be the linear transformation given by (x,y,z)-› (x+y+z,x+y, z).
Find the matrices A and A' which represent I with respect to:
(a)
bases (0, 0, 1), (0,1, 1), (1,1, 1) in the domain and (1, 0, 0), (1, 1, 0), (1,1, 1) in the
codomain (range),
(b) bases (1,1, 0), (1.
bases (1,1, 0), (1, -1, -1), (1,6,2) in the domain and (1,0,0), (1,1,0), (1,1,1)
in the codomain (range)
Write down the change of basis matrix P such that A'
= AP
