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Let be a matrix
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Let
A
A
A
be a
3
×
k
3\times k
3
×
k
matrix,
B
B
B
a
k
×
4
k\times 4
k
×
4
matrix and
C
C
C
a
4
×
n
4\times n
4
×
n
matrix, where
k
k
k
and
n
n
n
are positive integers. For which value of
n
n
n
is the product
A
B
C
ABC
A
B
C
defined and also a square matrix? (a)
n
=
4
n = 4
n
=
4
(b)
n
=
3
n = 3
n
=
3
(c) Any positive integer
n
n
n
(d)
n
=
k
n = k
n
=
k
Related theory
Matrix Operations
Matrices
Multiplication of matrices
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