$((V^{-1}x)/A)^T$
Which rules would I use to take the transpose of this matrix? I know about $(AB)^T=B^TA^T$, but how do I account for the division in this case?
$((V^{-1}x)/A)^T$
Which rules would I use to take the transpose of this matrix? I know about $(AB)^T=B^TA^T$, but how do I account for the division in this case?
Division written this way is bad for matrices. It should be multiply by the inverse, and since multiply is not commutative for matrices, it can not be written as a fraction. Once it is rewritten as multiplication by the inverse, the transpose rule is easy.
Generally speaking this is false: $AB^{-1} = B^{-1}A$
Which is why it does not make sense to write $\frac{A}{B}$