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Byju's Answer
Standard XII
Mathematics
Multiplication of Matrices
If A is any...
Question
If
A
is any matrix, then the product
A
A
is defined only when A is a matrix of order
m
×
n
where :
A
m
>
n
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B
m
<
n
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C
m
=
n
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D
m
≤
n
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Solution
The correct option is
D
m
=
n
Let two matrix be
A
and
B
of order
m
×
n
and
l
×
k
respectively.
They can be multiplied if
n
=
l
So, if a matrix
A
of order
m
×
n
is to be multiplied by
A
Then,
m
=
n
Suggest Corrections
0
Similar questions
Q.
If A is a matrix of order m × n and B is a matrix such that AB
T
and B
T
A are both defined, then the order of matrix B is
(a) m × n
(b) n × n
(c) n × m
(d) m × n
Disclaimer: option (a) and (d) both are the same.
Q.
If A be any
m
×
n
matrix and both AB and BA are defined prove that B should be
n
×
m
matrix
Q.
If A be any
m
×
n
matrix and both AB and BA are defined prove that B should be
m
×
n
matrix
Q.
For any positive integer
m
,
n
with
n
≥
m
,
let
(
n
m
)
=
n
C
m
.
Then
(
n
m
)
+
(
n
−
1
m
)
+
(
n
−
2
m
)
+
⋯
+
(
m
m
)
is equal to
Q.
For any positive integer
m
,
n
(
with
n
≥
m
)
=
n
C
m
.
(
n
m
)
+
(
n
−
1
m
)
+
(
n
−
2
m
)
+
.
.
.
+
(
m
m
)
=
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