Matrix multiplication, computation

Summary

• If \(A\) is \(n×m\) and \(B\) is \(m×l\) then \(C=AB\) is defined and element \({i,j}\) of \(C\) is given by the dot product of row \(i\) of \(A\) with column \(j\) of \(B\) ,

\[c_{i,j}=a_{i,⋅}⋅b_{⋅,j}\]

• where \(i=1,⋯,n\) and \(j=1,⋯,l\) .