In Brazil's curriculum, students are thought matrices in high school. Here, however, there is no linear algebra or pre calculus, therefore matrices end up being just tables with lots of "arbitrary" definitions.

Is there a way to motivate the definitions without teaching them things not on the program?

In Brazil's curriculum students are taught matrices in high school. Here, however, there is no linear algebra or pre-calculus, therefore matrices end up being just tables with lots of "arbitrary" definitions.

Is there a way to motivate the definitions without teaching them things not on the curriculum?