Please show your work

1. [12 pts} Let an ordered nonstandard basis for Ill2 be H = {ELI}. {21.1)}, i.e., o1 = {4. 1} and a; = {2.1}. Denote the ordered standard basis as B" = {{1.UL{U,1)} with \"l = {1. } and u; = {l}? 1}. [a] (4 pts] Circle which of the following matrices is the transition matrix P from B to B\". Show your work. [3 1] m [i i] i i] [a 3] {b} (4 pts} Let am he the coordinate vector for a relative to basis 3" and a3 be the coordinate vector of a relative to basis 5. Circle which of the following is age when 1L3 = {1? 2}. Show your work. {a} (E: 4} lb} {31 3} (C) {10+ 3} III-=1] (1:. 2} {c} (4 pts) Use the P from part [a] to nd the transition matrix from B\" to B