I need help with two questions(of many which I don't understand). All assistance is appreciated
These are questions on matrices.
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to show that
is always symmetric.
Why does the same proof show that is symmetric?I don't know what to say here, I could perform the same test and prove that it is symmetric, but that isn't using 'the same proof' is it?
In the second question we are told to deduce the trace of an arbitrary matrix
, where
and
are both
matrices. I found the trace to be
. The second part of the question requires us to
show that the traces of and are equal.My steps were as follows:
From above:
Trace
It follows that
And these two differ only in the name of the variable, which is arbitrary. Hence,
What should be written for this last part, to show that
?Or can I simply state that they are equal?
Thanks