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Question

Using properties of determinants, the value of determinant
∣ ∣184089408919889198440∣ ∣ is obtained as:

A
3
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B
1
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C
1
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D
0
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Solution

The correct option is C 1
Let D=∣ ∣184089408919889198440∣ ∣
Applying R2R22R1 and R3R35R1
D=∣ ∣1840894920125∣ ∣
Applying C3C32C2
D=∣ ∣18409492121∣ ∣
Now applying C1C12C3 to get zeros in C1
D=∣ ∣0409092121∣ ∣=140992D=8081=1

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