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Homework Statement
Let So = {v1,v2,v3,v4} be basis of vector space V.
And S = {u1,u2,u3,u4} be set of vectors defined as follows:
u1 = 20v1 + 46v2 + 116v3 + 170v4
u2 = 20v1 + 86v2 + 147v3 + 174v4
u3 = 30v1 + 89v2 + 59v3 + 81v4
u4 = 15v1 + 27v2 + 12v3 + 9v4
Find transition matrix A from So to S which is transition matrix from S coordinates to So coordinates.
Homework Equations
I know how to find transition matrix, it's hard to explain put you want to but one basis down and the other basis next to it and turn one into identity matrix.
The Attempt at a Solution
So first off we know that S is a basis of vector space V since it just scalar multiples of So.
I have calculated transition for small basis like {(1,2),(2,1)} but am unsure how to set up for this problem
If someone can set it up for me or give advice on what to do I can solve it. Thanks in advance!