Question

I have

C_ij^T = row_iB^T * col_jA^T

how did it go to :
C^T = B^T * A^T

?


also can you please give me the matrix for [sum a_ij*b_ij from 1 to 3]

Answer 1

@Kainui

Answer 2

If you ignore the transposes, they are showing how each element in the product matrix is found by doing a dot product of the row of B * the column of A

Answer 3

Perhaps the less clear thing is if
\[ C= A\ B \]
then
\[ C^T = B^T \ A^T\]

Answer 4

** [sum a_ij*b_ij from 1 to 3] **
for i=1 to 3 ? (or j ?)
is that a row of A times a column of B ?