Linear algebra quick silly question

1. Jan 15, 2014

iScience

so i just wanted to get this confirmed: the only two defined algebraic operations for matrices are addition and multiplication right?

2. Jan 15, 2014

SammyS

Staff Emeritus
Perhaps you mean "arithmetic" rather than "algebraic" ?

3. Jan 15, 2014

iScience

i was including subtraction when i mentioned addition. and yes, "arithmetic" operations.

so that's all right? addition/subtraction and multiplication?

4. Jan 15, 2014

SammyS

Staff Emeritus
In particular, division is not defined for matrices .

5. Jan 16, 2014

iScience

do transposes, traces, etc all count as algebraic operations?

6. Jan 16, 2014

Staff: Mentor

I don't know about the "algebraic" part, but they are certainly operations that are defined on matrices.