Linear algebra quick silly question

iScience
Messages
466
Reaction score
5
so i just wanted to get this confirmed: the only two defined algebraic operations for matrices are addition and multiplication right?
 
Physics news on Phys.org
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.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

B What unique contributions to math did linear algebra make?
Replies
19
Views
3K
What can we say about the eigenvalues if ##L^2=I##?
Replies
12
Views
2K
Proving statements about matrices | Linear Algebra
Replies
25
Views
3K
Orthogonal Projection Problems?
Replies
5
Views
1K
Help with a Linear Algebra problem please
Replies
3
Views
1K
Linear Algebra How hard is this Linear Algebra textbook?
Replies
17
Views
7K
Solving a Linear Combination Problem
Replies
2
Views
2K
Given specific v, dimension of subspace of L(V, W) where Tv=0?
Replies
15
Views
2K
Linear Algebra I need a book on linear algebra....
Replies
2
Views
2K
Null space of dual map of T = annihilator of range T
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top