If $A=\left[\begin{array}{ccc}-a^2 & a b & a c \ a b & -b^2 & b c \ a c & b c & -c^2\end{array} i

Question

If $A=\left[\begin{array}{ccc}-a^2 & a b & a c \ a b & -b^2 & b c \ a c & b c & -c^2\end{array}ight]=k a^2 b^2 c^2$, then the value of $k$ is

Professor PC Thomas Classes · Answer

Applying structural expansion over row parameters tracks components multiplying identically to $4a^2b^2c^2$.