Using properties of determinants prove that: \[ \left|\begin{array}...

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Using properties of determinants prove that:
\[
\left|\begin{array}{ccc}
b^{2}-a b & b-c & b 6-a c \\
a b-a^{2} & a-b & b^{2}-a b \\
b c-a c & c-a & a b-a^{2}
\end{array}\right|=0
\]
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