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Byju's Answer
Standard XII
Mathematics
Null Matrix
If A=[ 1 -5...
Question
If
A
=
⎡
⎢
⎣
1
−
5
7
0
7
9
11
8
9
⎤
⎥
⎦
, then trace of matrix A is.
A
17
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B
25
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C
3
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D
12
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Solution
The correct option is
C
17
We know that,
t
r
(
A
)
=
n
∑
i
=
1
a
i
i
∴
If A
=
∣
∣ ∣
∣
1
−
5
7
0
7
9
11
8
9
∣
∣ ∣
∣
, then
t
r
(
A
)
=
1
+
7
+
9
=
17
Hence, option A is correct.
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0
Similar questions
Q.
The trace of the matrix
A
=
1
-
5
7
0
7
9
11
8
9
is
(a) 17
(b) 25
(c) 3
(d) 12
Q.
If
A
=
⎡
⎢
⎣
1
−
5
7
0
7
9
11
8
9
⎤
⎥
⎦
, then trace of matrix
A
is
Q.
If
A
=
⎡
⎢
⎣
1
−
5
7
0
7
9
11
8
9
⎤
⎥
⎦
, then the value of tr
A
is
Q.
Let
A
=
⎡
⎢
⎣
−
1
2
3
⎤
⎥
⎦
and
B
=
[
−
2
−
1
−
4
]
If trace of matrix
A
B
is
−
12
, then the value of
k
Q.
If
A
is a
3
×
3
skew-symmetric matrix, then trace of
A
is equal to
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