Check that B={u1 , u2, u3} and B'={u' 1 , u' 2, u' 3} are bases in R3, where u1=[-3,0,-3]^t u2=[-3,2,-1]^t u3=[1,6,-1]^t and u' 1=[-6,-6,0]^t u' 2=[-2,-6,4]^t u' 3=[-2,-3,7]^t.
a)find the transition matrix from B to B'
b)compute the coordinate vector [w]B where w=[-5,8,-5]^t
c)compute [w]B'
I was never taught how to compute this and I'm not too familiar with change of basis