determinants of |0 p-q p-r| |q-p 0 q-r| |r-p r-q 0| =
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Explanation:
Performing C
1
→C
1
−C
2
,C
2
→C
2
−C
3
∣
∣
∣
∣
∣
∣
∣
∣
q−p
g−p
q−p
r−q
r−q
r−q
p−r
q−r
0
∣
∣
∣
∣
∣
∣
∣
∣
(q−p)(r−q)
∣
∣
∣
∣
∣
∣
∣
∣
1
1
1
1
1
1
p−r
q−r
0
∣
∣
∣
∣
∣
∣
∣
∣
=0 {∵ Two columns are identical}
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