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Mathematics
Mathematics
Problem
If
a
≠
0
,
b
≠
0
,
c
≠
0
a \neq 0, b \neq 0, c \neq 0
a
=
0
,
b
=
0
,
c
=
0
and
∣
1
+
a
1
1
1
+
b
1
+
2
b
1
1
+
c
1
+
3
c
1
∣
=
0
\begin{vmatrix} 1+a & 1 & 1 \\ 1+b & 1+2b & 1 \\ 1+c & 1+3c & 1 \end{vmatrix} = 0
1
+
a
1
+
b
1
+
c
1
1
+
2
b
1
+
3
c
1
1
1
=
0
, the value of
∣
a
−
1
+
b
−
1
+
c
−
1
∣
|a^{-1} + b^{-1} + c^{-1}|
∣
a
−
1
+
b
−
1
+
c
−
1
∣
is equal to
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