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For square matrices and of the same order
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem
For square matrices
A
A
A
and
B
B
B
of the same order, it is given that
A
B
=
I
AB=I
A
B
=
I
. Explain briefly why it must also be true that
B
A
=
I
BA=I
B
A
=
I
.
Related theory
Determinants
Matrices
Adjoint and inverse
Invertible matrices
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