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Byju's Answer
Standard X
Mathematics
Multiplication of Matrices
The lowest Ei...
Question
The lowest Eigen value of the
2
×
2
matrix
[
4
2
1
3
]
is
A
1
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B
2
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C
3
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D
5
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Solution
The correct option is
B
2
A
=
(
4
2
1
3
)
|
A
−
λ
I
|
=
(
4
2
1
3
)
−
(
λ
0
0
λ
)
=
(
4
−
λ
2
1
3
−
λ
)
=
12
−
4
λ
−
3
λ
+
λ
2
−
2
=
0
=
λ
2
−
7
λ
+
10
=
0
λ
2
−
5
λ
−
2
λ
+
10
=
0
(
λ
−
5
)
(
λ
−
2
)
λ
=
5
,
2
Suggest Corrections
0
Similar questions
Q.
The lowest eigen value of the 2 x 2 matrix
[
4
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1
3
]
is .
Q.
The matrix
M
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⎡
⎢
⎣
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⎤
⎥
⎦
has eigen values 3, -3, 5. An eigen vector corresponding to the eigen value 5 is
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T
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Q.
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It is given that A has only one real eigen value. Then the real eigen value A is
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