Evaluate the following determinant:(i) 1+a1111+a1111+a=a3+3a2(ii) a2+2 – InterviewSolution

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1.	Evaluate the following determinant:(i) 1+a1111+a1111+a=a3+3a2(ii) a2+2a2a+112a+1a+21331=a-13
Answer» Evaluate the following determinant: (i) $\|\begin{matrix} 1 + a & 1 & 1 \\ 1 & 1 + a & 1 \\ 1 & 1 & 1 + a \end{matrix}\| = a^{3} + 3 a^{2}$ (ii) $\|\begin{matrix} a^{2} + 2 a & 2 a + 1 & 1 \\ 2 a + 1 & a + 2 & 1 \\ 3 & 3 & 1 \end{matrix}\| = {(a - 1)}^{3}$

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