Expression

Result

The component-wise sum of  and ,

if the dimensions match;

otherwise, returns an error

Adds  to every element of

Returns unevaluated

The component-wise sum of  and ,

if the dimensions match;

otherwise, returns an error

Adds  to the main diagonal of

Returns unevaluated

The component-wise sum of  and ,

if dimensions and orientations match;

otherwise, returns an error

An error

Returns unevaluated

     other

All other combinations raise errors

     Expression

Result

The component-wise product of  and , if the dimensions match;

otherwise, returns an error

Multiplies every element of  by

Returns unevaluated

An error (must use the '.' (dot) operator)

Multiplies every element of  by

Returns unevaluated

An error (must use the '.' (dot) operator)

Multiplies every element of  by

Returns unevaluated

     other

All other combinations raise errors

    Expression

Result

The component-wise exponentiation of .

Constant c can be any (complex) numeric value.

Returns unevaluated

If M is square and c is a positive integer, then

the result is the matrix product  ...

(c factors using the dot operator)

If c is a negative integer, the result is

(  ... ) ( factors using

the dot operator)

If , the result is

If  is not an integer, it returns unevaluated

Returns unevaluated