Linear Algebra: Coordinatization of vectors

brinethery
Messages
22
Reaction score
0

Homework Statement



I am having a really hard time trying to understand problem #10. The link has problem 10 as well as my instructor's solution on the next page.

http://www.scribd.com/doc/81881704

Homework Equations


The Attempt at a Solution



I have no idea where to start. If anyone could explain this concept in terms of matrices, I would really appreciate it.
 
Physics news on Phys.org
Okay, never mind guys! I guess staring at something long enough makes me understand it.
 

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

Conflicting definitions of linear independence
Replies
30
Views
435
Given specific v, dimension of subspace of L(V, W) where Tv=0?
Replies
15
Views
2K
Help with linear algebra: vectorspace and subspace
Replies
15
Views
3K
B What unique contributions to math did linear algebra make?
Replies
19
Views
3K
Linear operator in 2x2 complex vector space
Replies
18
Views
2K
What can we say about the eigenvalues if ##L^2=I##?
Replies
12
Views
2K
Linear Algebra How hard is this Linear Algebra textbook?
Replies
17
Views
7K
Isomorphisms preserve linear independence
Replies
2
Views
2K
Determining the Max. Set of Linearly Independent Vectors
Replies
7
Views
3K
I How do Tensors "work" in relation to linear algebraic objects?
Replies
7
Views
172

Hot Threads

Recent Insights

Back
Top