Question: 8. Let $$ A = begin{bmatrix} a_1 & a_1 & a_1 & a_1 a_1 & a_2 & a_2 & a_2 a_1 & a_2

8. Let

$$

A = \begin{bmatrix}

a_1 & a_1 & a_1 & a_1 \\

a_1 & a_2 & a_2 & a_2 \\

a_1 & a_2 & a_3 & a_3 \\

a_1 & a_2 & a_3 & a_4

\end{bmatrix};

$$

what are the conditions on the $a_i$ so that A is nonsingular?

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