Linear algebra quick silly question

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Homework Help Overview

The discussion revolves around the operations defined for matrices in the context of linear algebra, specifically focusing on addition, subtraction, multiplication, and other related operations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are confirming the defined operations for matrices, including addition, subtraction, and multiplication. There is also a question about whether transposes and traces are considered algebraic operations.

Discussion Status

Participants are exploring the definitions and classifications of matrix operations, with some clarifying terms and others questioning the inclusion of certain operations. There is no explicit consensus yet on the classification of transposes and traces.

Contextual Notes

There is a mention of the distinction between "algebraic" and "arithmetic" operations, as well as a note that division is not defined for matrices.

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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