Consider the following.x = 2 0−2, = 1 00, 0 10, 0 01, = 1 11, 0 11, 0 01 in ℝ3(a)Find the coordinate vectors [x]  and [x]  of x with respect to the bases and , respectively.[x]  =  [x]  =  (b)Find the change-of-basis matrix P  ← from to .P  ←  =  (c)Use your answer to part (b) to compute [x] , and compare your answer with the one found in part (a).[x]  =  (d)Find the change-of-basis matrix P  ← from to .P  ←  =  (e)Use your answers to parts (c) and (d) to compute [x] , and compare your answer with the one found in part (a).[x]  =

Consider the following.x = 2 0−2, = 1 00, 0 10, 0 01, = 1 11, 0 11, 0 01 in ℝ3(a)Find the coordinate vectors [x]  and [x]  of x with respect to the bases and , respectively.[x]  =  [x]  =

Given the coordinate matrix of x relative to a (nonstandard) basis B for Rn, find the coordinate matrix of x relative to the standard basis.B  =  {(1, 0, 1), (1, 1, 0), (0, 1, 1)},[x]B  =  1 23

Given the coordinate matrix of x relative to a (nonstandard) basis B for Rn, find the coordinate matrix of x relative to the standard basis.B  =  {(1, 0, 1), (1, 1, 0), (0, 1, 1)},[x]B  =  3 12[x]S =

Given the coordinate matrix of x relative to a (nonstandard) basis B for Rn, find the coordinate matrix of x relative to the standard basis.B  =  {(2, −1), (0, 1)},[x]B  =  5 1[x]S =

Find the coordinate matrix of x in Rn relative to the basis B'.B' = {(4, 3, 3), (−11, 0, 11), (0, 9, 2)}, x = (26, 3, −19)[x]B' =