1. Consider the basesB= {u₁,u₂} andB'= {u'₁,u'₂} for R², where

u1= 8

8

u2= 4

-1

u'1= 1

9

u'2= -1

-1

Find the transition matrix fromBtoB'.

The transition matrix is P B to B' is

1. Consider the basesB= {u₁,u₂} andB'= {u'₁,u'₂} for R², where

u1= 8

8

u2= 4

-1

u'1= 1

9

u'2 -1

-1

Compute the coordinate vector [w]_B, where w 7

3

and use Formula (12)( [v] b'=P= B to B' [v] B) to compute [w]_B'.

[w]_B,=

[w]_B'=