How to prove that
where A is an invertible square matrix, T represents transpose and
In other words we want to prove that inverse of
is equal to
.
We know that if, we multiply any matrix with its inverse we get
. {
where
is an identity matrix of same order as of A}
Therefore, if we can prove that
then it will mean that
is inverse of
.
In other words, we are proving
Lets simplify
=
{
}
Therefore, we can say that
is inverse of
.
In other words,
which is the desired result.
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