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Byju's Answer
Standard X
Mathematics
Multiplication of matrices
The product o...
Question
The product of two diagonal matrices is always a :-
A
row matrix.
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B
identity matrix.
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C
scalar matrix.
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D
diagonal matrix.
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Solution
The correct option is
D
diagonal matrix.
Let
A
=
⎛
⎜
⎝
a
0
0
0
b
0
0
0
c
⎤
⎥
⎦
and
B
=
⎛
⎜
⎝
l
0
0
0
m
0
0
0
n
⎤
⎥
⎦
A
×
B
=
⎛
⎜
⎝
al
0
0
0
bm
0
0
0
cn
⎤
⎥
⎦
which
is
a
diagonal
matrix
.