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Mathematics
Problem
If
b
c
+
q
r
=
c
a
+
r
p
=
d
b
+
p
q
=
−
1
bc + qr = ca + rp = db + pq = -1
b
c
+
q
r
=
c
a
+
r
p
=
d
b
+
pq
=
−
1
, show that
∣
a
p
b
p
c
r
a
b
c
p
q
r
∣
=
0.
\begin{vmatrix} ap & bp & cr \\ a & b & c \\ p & q & r \end{vmatrix} = 0.
a
p
a
p
b
p
b
q
cr
c
r
=
0.
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