TIFR ECE 2014 | Question: 5

Question

The matrix
\[
A=\left(\begin{array}{ccc}
1 & a_{1} & a_{1}^{2} \\
1 & a_{2} & a_{2}^{2} \\
1 & a_{3} & a_{3}^{2}
\end{array}\right)
\]
is invertible when

• A. $a_{1}>a_{2}>a_{3}$
• B. $a_{1}<a_{2}<a_{3}$
• C. $a_{1}=3, a_{2}=2, a_{3}=4$
• D. All of the above
• E. None of the above