The multiplication operator can be used as follows:
The meaning of this operation depends on the tensorial orders of and . The various possibilities are summarized in Table I.4.8 with a short explanation of the meaning of the operation when deemed necessary.
meaning | |||
S | S | S | — |
V | S | V | — |
M | S | M | — |
V | V | S | — |
S | V | V | scalar product of two vectors |
V | V | M | left multiplication of a matrix by a vector |
M | M | S | — |
V | M | V | right multiplication of a matrix by a vector |