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Which of the following statements about scalar multiplication of a matrix by real…
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Which of the following statements about scalar multiplication of a matrix
A
A
A
by real numbers
k
k
k
and
l
l
l
is always true? (a)
(
k
l
)
A
=
k
A
+
l
A
(kl)A = kA + lA
(
k
l
)
A
=
k
A
+
l
A
(b)
(
k
+
l
)
A
=
k
A
+
l
A
(k+l)A = kA + lA
(
k
+
l
)
A
=
k
A
+
l
A
(c)
(
k
+
l
)
A
=
(
k
l
)
A
(k+l)A = (kl)A
(
k
+
l
)
A
=
(
k
l
)
A
(d)
k
A
+
l
=
(
k
+
l
)
A
kA + l = (k+l)A
k
A
+
l
=
(
k
+
l
)
A
Related theory
Matrix Operations
Matrices
Scalar multiplication of matrices
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