Find the coordinate vector [v]B[v]_B[v]B of v=(1,2,3)v = (1, 2, 3)v=(1,2,3) with respect to the basis B={(1,0,0),(1,1,0),(1,1,1)}B = \{(1, 0, 0), (1, 1, 0), (1, 1, 1)\}B={(1,0,0),(1,1,0),(1,1,1)}.
(0,2,3)(0, 2, 3)(0,2,3)
(−1,−1,3)(-1, -1, 3)(−1,−1,3)
(2,2,3)(2, 2, 3)(2,2,3)
(1,1,1)(1, 1, 1)(1,1,1)