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Byju's Answer
Standard XII
Mathematics
Diagonal Matrix
Identify the ...
Question
Identify the matrix given below:
⎡
⎢ ⎢ ⎢
⎣
1
0
0
0
0
4
0
0
0
0
−
1
0
0
0
0
−
3
⎤
⎥ ⎥ ⎥
⎦
A
diagonal matrix
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B
zero matrix
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C
scalar matrix
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D
unit matrix
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Solution
The correct option is
A
diagonal matrix
⎡
⎢ ⎢ ⎢
⎣
1
0
0
0
0
4
0
0
0
0
−
1
0
0
0
0
−
3
⎤
⎥ ⎥ ⎥
⎦
The given matrix is diagonal matrix, because all the elements other than
the principle diagonal elements are zero.
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Similar questions
Q.
Identify the non-diagonal matrix from the given options.
Q.
Identify the matrix given below:
⎡
⎢
⎣
1
0
0
0
3
0
0
0
2
⎤
⎥
⎦
Q.
Identify
A
and
B
in the reaction given below.
Ethane nitrile
H
y
d
r
o
l
y
s
i
s
−
−−−−−
→
a
q
H
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S
O
4
+
2
H
2
O
−
N
H
3
A
D
e
c
a
r
b
o
x
y
l
a
t
i
o
n
−
−−−−−−−−−
→
S
o
d
a
l
i
m
e
Δ
−
C
O
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B
Q.
Given an example of
(i) a row matrix which is also a column matrix,
(ii) a diagonal matrix which is not scalar,
(iii) a triangular matrix
Q.
The matrix
A
=
1
0
0
0
2
0
0
0
4
is
(a) identity matrix
(b) symmetric matrix
(c) skew-symmetric matrix
(d) diagonal matrix
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