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Mathematics
Mathematics
Problem
For invertible matrices
A
A
A
and
B
B
B
of the same order, evaluate
(
(
A
−
1
B
)
T
)
−
1
((A^{-1}B)^{T})^{-1}
((
A
−
1
B
)
T
)
−
1
. a)
(
B
T
)
−
1
A
T
(B^{T})^{-1}A^{T}
(
B
T
)
−
1
A
T
b)
A
T
(
B
T
)
−
1
A^{T}(B^{T})^{-1}
A
T
(
B
T
)
−
1
c)
B
T
(
A
T
)
−
1
B^{T}(A^{T})^{-1}
B
T
(
A
T
)
−
1
d)
(
A
T
)
−
1
B
T
(A^{T})^{-1}B^{T}
(
A
T
)
−
1
B
T
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