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Matrices & Determinants
PRACTICE
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+4
0
IPMAT Indore 2020
Numeric Answer
＋
!
Suppose
∣
a
a
2
a
3
−
1
b
b
2
b
3
−
1
c
c
2
c
3
−
1
∣
=
0
\left|\begin{array}{lll}a & a^{2} & a^{3}-1 \\ b & b^{2} & b^{3}-1 \\ c & c^{2} & c^{3}-1\end{array}\right|=0
a
b
c
a
2
b
2
c
2
a
3
−
1
b
3
−
1
c
3
−
1
=
0
, where
a
,
b
\mathrm{a}, \mathrm{b}
a
,
b
and
c
\mathrm{c}
c
are distinct real numbers. If
a
=
3
{a}=3
a
=
3
, then the value of
a
b
c
abc
ab
c
is:
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