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Byju's Answer
Standard XII
Mathematics
Singular and Non Singualar Matrices
Calculate the...
Question
Calculate the values of the determinants:
∣
∣ ∣ ∣ ∣
∣
7
13
10
6
5
9
7
4
8
12
11
7
4
10
6
3
∣
∣ ∣ ∣ ∣
∣
.
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Solution
⇒
Δ
=
∣
∣ ∣ ∣ ∣
∣
7
13
10
6
5
9
7
4
8
12
11
7
4
10
6
3
∣
∣ ∣ ∣ ∣
∣
C
1
=
C
1
+
C
2
−
2
C
3
⇒
Δ
=
∣
∣ ∣ ∣ ∣
∣
0
13
10
6
0
9
7
4
0
12
11
7
0
10
6
3
∣
∣ ∣ ∣ ∣
∣
All the elements of one column of the determinant are zero
⇒
Δ
=
0
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0
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Q.
Calculate the values of the determinants:
∣
∣ ∣ ∣ ∣
∣
1
1
1
1
1
2
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1
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6
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10
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∣
∣ ∣ ∣ ∣
∣
.
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∣
∣ ∣
∣
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∣
∣ ∣
∣
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∣ ∣
∣
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∣ ∣
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∣
∣ ∣ ∣ ∣
∣
3
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∣
∣ ∣ ∣ ∣
∣
.
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∣
∣ ∣
∣
13
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