Why are these called matrix-valued expressions? It seems like these are just scalar expressions that depend on a matrix in some way.

The x & y on the left side are column vectors (matrices having 1 column). Therefore the expressions on the left are all actually matrix operations

@aabhagwa You're correct; perhaps this should have simply said, "functions of matrices."

Why are these called matrix-valued expressions? It seems like these are just scalar expressions that depend on a matrix in some way.

The x & y on the left side are column vectors (matrices having 1 column). Therefore the expressions on the left are all actually matrix operations

@aabhagwa You're correct; perhaps this should have simply said, "functions of matrices."