I have the following expression
$m=A.b$ where each variable has a term $x$ inside, and these are the dimensions
$x$ - [1x1]
$b$ - [100x1]
$A$ - [100x100]
$m$ - [100x1]
I want to get the jacobian of $\frac{dm}{dx}$ which I assume is
$\frac{dm}{dx}=\frac{dA}{dx}.b+A.\frac{db}{dx}$
[100.1 x 1] = [100.100 x 1][1 x 100] + [100 x 100][100 x 1]
[100 x 1] = [10000 x 100] + [100 x 1] - Doesnt work
Unfortunately this doesnt add up as seen above. I am clearly doing something fundamentally wrong. Can someone please help me