MCQ
If $A = \left[ \begin{array}{l}1\\2\\3\end{array} \right],$then $AA' = $
- A$14$
- B$\left[ \begin{array}{l}1\\4\\3\end{array} \right]$
- ✓$\left[ {\begin{array}{*{20}{c}}1&2&3\\2&4&6\\3&6&9\end{array}} \right]$
- DNone of these
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$(a-c) x^2+(b-a) x+(c-b)=0$ where $a, b, c$ are distinct real numbers such that the matrix
$\left[\begin{array}{ccc}\alpha^2 & \alpha & 1 \\1 & 1 & 1 \\a & b & c\end{array}\right]$
is singular. Then the value of
$\frac{(a-c)^2}{(b-a)(c-b)}+\frac{(b-a)^2}{(a-c)(c-b)}+\frac{(c-b)^2}{(a-c)(b-a)}$