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Byju's Answer
Standard X
Mathematics
Solving Simultaneous Linear Equation Using Cramer's Rule
Evaluate the ...
Question
Evaluate the following determinant :
∣
∣ ∣
∣
1
−
3
2
4
−
1
2
3
5
2
∣
∣ ∣
∣
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Solution
∣
∣ ∣
∣
1
−
3
2
4
−
1
2
3
5
2
∣
∣ ∣
∣
=
1
(
−
2
−
10
)
+
3
(
8
−
6
)
+
2
(
20
+
3
)
=
−
12
+
6
+
46
=
40
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Similar questions
Q.
Write the minors and cofactors of each element of the first column of the following matrices and hence evaluate the determinant in each case:
(i)
A
=
5
20
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-
1
(ii)
A
=
-
1
4
2
3
(iii)
A
=
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3
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-
1
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(iv)
A
=
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a
b
c
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c
a
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c
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(v)
A
=
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(vi)
A
=
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h
g
h
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f
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(vii)
A
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0
Q.
The cofactor of element '5' in the matrix
⎛
⎜
⎝
1
−
3
2
4
−
1
2
3
5
2
⎤
⎥
⎦
will be
.