# In constructing matrices to model physical phenomena, are real matrices superior to complex matrices, in terms of computational cost?

Just studying some toy examples of $2\times 2$ and $3 \times 3$ matrices, complex number multiplication already gets a bit messy.

From a numerical analysis point of view, if one were to try and build very large matrices to model physical behavior, is it much more desirable to build real matrices over complex matrices, in terms of computational cost?

What other advantages are there regarding real vs. complex matrices?