1. For any vector a E R3, let L be the linear transformation from R3 -> R defined 2 1 4 1 1 3 by L(:) = T. 0 2 . Find [Lla where a = { (1, 0, 0), (0, 1, 0), (0, 0, 1) }, and B = {(1, 0, 0,0), (1, 1, 0,0) (1, 1, 1, 0), (1, 1, 1, 1) }. . Find a basis for the range space of L which is defined as { L(x) : x E R3]