the0
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Homework Statement
Y'(u) = A(u)Y(u)
V(u) is the general solution
The question asks to show that if A(u) is antisymetric for all u
i.e. ^{t}A(u) = -A(u) for all u
Then ^{t}V(u).V(u) = I
Homework Equations
A hint says to use the fact that V(0) = I
The Attempt at a Solution
Using the fact given in the hint I have a solution
(differentiate ^{t}V(u).V(u) and show that this is zero, therefore ^{t}V(u).V(u) is constant, and since the hint implies ^{t}V(0).V(0) = I the problem is solved)
HOWEVER, I do not understand why V(0) = I!
Maybe it's something obvious which I just cannot spot!
Please could somebody explain this to me