What is the simplest way to get an element of an matrix multiplication?
Assume $A$ and $B$ are $n\times n$ matricies. And $1\le i\le n$ and $1\le j\le n$ are inidicies
I tried $(A*B)(i,j)$ but this is no valid MATLAB syntax.
Sure an other way is $C=A*B$ and then $C(i,j)$ but this to complex and long for me.
Is there a trick to do that in a simple and compact way?
Thanks
If $A$ and $B$ are $n \times n$ real matrices with $A=(a_{i,j})_{1 \leq i,j \leq n}$ and $B = (b_{i,j})_{1 \leq i,j \leq n}$, for a given $(i,j) \in \lbrace 1,\ldots,n \rbrace^{2}$,
$$ \big( AB \big)_{i,j} = \sum_{k=1}^{n} a_{i,k}b_{k,j} $$
As a consequence, you could try :
dot(A(i,:)',B(:,j))inMATLAB.