Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If and are square matrices of the same order such that and
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
If
A
A
A
and
B
B
B
are square matrices of the same order such that
A
∗
=
A
A^*=A
A
∗
=
A
and
B
∗
=
B
B^*=B
B
∗
=
B
, where
A
∗
A^*
A
∗
denotes the conjugate transpose of
A
A
A
, then
(
A
B
−
B
A
)
∗
(AB-BA)^*
(
A
B
−
B
A
)
∗
is equal to (1) Null matrix (2)
A
B
−
B
A
AB-BA
A
B
−
B
A
(3)
B
A
−
A
B
BA-AB
B
A
−
A
B
(4) None of these
Related theory
Matrices
Matrix Operations
Properties of matrix operations
Browse the problem library