Multiply the matrix A(BC).
\ \Substitute matrices B and C.
\
Multiply columns by rows.
\
Substitute matrix A
\
Multiply columns by rows.
\

Multiply the matrix (AB) C.
\
Multiply columns by rows.
\

Substitute matrix C
\
Multiply columns by rows.
\

The solution of matrix A(BC) = (AB)C is True.
\