Linear Transformation in Mathematics

pyroknife
Messages
611
Reaction score
4
I attached the problem, idk if it's really easy or If I'm doing it all wrong.

Since T is a linear transformation T(u+v)=T(u)+T(v)=w+0=w?
 

Attachments

  • Untitled.png
    Untitled.png
    3.7 KB · Views: 329
Physics news on Phys.org
pyroknife said:
I attached the problem, idk if it's really easy or If I'm doing it all wrong.

Since T is a linear transformation T(u+v)=T(u)+T(v)=w+0=w?

Well, sure. What do you think you could possibly be doing wrong?
 
Idk just seems too easy for a problem found at the "end" of a section lol.
 
pyroknife said:
Idk just seems too easy for a problem found at the "end" of a section lol.

Have a little more confidence in what you know!
 

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

Null space of dual map of T = annihilator of range T
Replies
1
Views
2K
Linear Transformation from R3 to R3
Replies
4
Views
3K
The correct way to write the range of a linear transformation
Replies
11
Views
2K
Given surjective ##T:V\to W##, find isomorphism ##T|_U## of U onto W.
Replies
1
Views
1K
[LinAlg] Show that T:C[a,b] -> R is a linear transformation
Replies
2
Views
1K
Tricky Problem: Prove range T = null ##\phi## when null T' has dim 1
Replies
8
Views
1K
Find a basis for W which is subset of V
Replies
4
Views
1K
Linear algebra invertible transformation of coordinates
Replies
2
Views
1K
Fourier transform ##f(t) = te^{-at}##
Replies
6
Views
3K
Prove that range ##T'## = ##(\text{null}\ T)^0##
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top