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IIT JEE Advanced 2011 Paper 2
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© examsnet.com
Question : 58
Total: 60
Let M be a 3 × 3 matrix satisfying
M
[
0
1
0
]
=
[
−
1
2
3
]
=
[
1
1
−
1
]
and
M
[
1
1
1
]
=
[
0
0
12
]
.
Then the sum of the diagonal entries of M is _____.
Your Answer:
Validate
Solution:
Let M =
[
a
b
c
d
e
f
g
h
i
]
M
[
0
1
2
]
=
[
−
1
2
3
]
⇒ b = - 1 , e = 2 , h = 3
M
[
1
−
1
0
]
=
[
1
1
−
1
]
⇒ a = 0 , d = 3 , g = 2
M
[
1
1
1
]
=
[
0
0
12
]
⇒ g + h + i = 12 ⇒ i = 7
Hence, the sum of diagonal elements is 9.
© examsnet.com
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