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blackbear
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Homework Statement
Let X denote the set of all real symmetric 3x3 matrices. The trace of a matrix, tr(x) is defined as the sum of the diagonal components and is a linear function. Define L(x) = tr(x), where x refers to X. Find the representation of this operator with respect to a basis set for the linear space (X,R) for X denote the set of all real symmetric 3x3 matrices.
2. Homework Equations [
The Attempt at a Solution
Let A= 2 3 4
3 1 0
4 0 5
So, tr(x) = a11+a22+a33
can I define L= 2 0 0
0 1 0
0 0 5
Thanks
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