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If and are invertible matrices of the same order
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
If
A
A
A
and
B
B
B
are invertible matrices of the same order, then
(
B
−
1
A
T
)
−
1
(B^{-1}A^{T})^{-1}
(
B
−
1
A
T
)
−
1
equals (a)
B
(
A
−
1
)
T
B(A^{-1})^{T}
B
(
A
−
1
)
T
(b)
A
−
1
B
A^{-1}B
A
−
1
B
(c)
(
A
−
1
)
T
B
(A^{-1})^{T} B
(
A
−
1
)
T
B
(d)
B
A
T
B A^{T}
B
A
T
Related theory
Transpose of a Matrix
Matrices
Determinants
Adjoint and inverse
Invertible matrices
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