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concon
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Homework Statement
let a= {a1, a2, a3, a4}
and b={b1,...,b4}
and r = {r1,...,r4}
Also,
b1 = 4a1
b2 = 8a1 + 7a2
b3 = 4a1 + 4a2 + 4a3
b4 = 9a1 + 5a2 + 8a3 + 5a4
and
r1 = 3b4
r2= 4b3 + 6b4
r3 = 9b2 + 3b3 + 9b4
r4 = 6b1 + 5b2 + 3b3 + 5b4
Find transition matrix from basis a to r.
Homework Equations
To find transition matrix I know you make matrix with on one side one basis and the other side the other basis and turn one of them into the identity matrix.
Hard to visually represent this equation, but hopefully you know what I mean.
The Attempt at a Solution
Normally these problems are really easy in class with bases like {(1,2), (2,1)}
I have no idea how to solve this one.
thus far I have but r in terms of a:
r1 = 27a1 + 15a2 + 24a3 + 15a4
r2 = 70a1 + 46a2 + 64a3 + 30a4
r3 = 165a1 + 120a2 + 84a3 + 45a4
r4 = 121a1 + 72a2 + 40a3 + 25a4
What do I do from here?