IPMAT Indore 2020 (SA) - Suppose |arrayllla & a^2 & a^3-1 \\ b & b^2 & b^3-1 \\ c & c^2 & c^3-1array|=0, where a, b and c are distinct real numbers. If a=3, then the value of abc is: | PYQs + Solutions | AfterBoards
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IPMAT Indore 2020

Modern Math
>
Matrices & Determinants

Hard

Suppose ∣aa2a3−1bb2b3−1cc2c3−1∣=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, where a,b\mathrm{a}, \mathrm{b} and c\mathrm{c} are distinct real numbers. If a=3{a}=3, then the value of abcabc is:

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