(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the basis for the range of the following transformation: T(A)=tr(A)

2. Relevant equations

tr(A)=a(1,1)+a(2,2)+.....+a(n,n) {not a multiple of but just subscripts of the entries of the diagonal elements}

3. The attempt at a solution

Since the elements can be any real number, the range R(T)= all real numbers on the number line(i.e R^1). So I guess the basis is just 1? Is this right?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Finding the range of the trace

**Physics Forums | Science Articles, Homework Help, Discussion**