Linear algebra quick silly question

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

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iScience said:
so i just wanted to get this confirmed: the only two defined algebraic operations for matrices are addition and multiplication right?
Perhaps you mean "arithmetic" rather than "algebraic" ?

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

so that's all right? addition/subtraction and multiplication?
 
iScience said:
i was including subtraction when i mentioned addition. and yes, "arithmetic" operations.

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

In particular, division is not defined for matrices .
 
do transposes, traces, etc all count as algebraic operations?
 
iScience said:
do transposes, traces, etc all count as algebraic operations?
I don't know about the "algebraic" part, but they are certainly operations that are defined on matrices.
 

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