Determine whether the function is a linear transformation (Attempt inside)

  • Thread starter sam0617
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  • #1
18
1
T: Mnn => R, where T(A) = tr(A)

Attempt:

1) T(kA) = tr(kA) = k tr(A) = k T(A)



2) T(A+B) = tr (A + B) = tr(A) + tr(B) = T(A) + T(B)

so it's linear transformation. Am I correct?
 
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Answers and Replies

  • #2
Deveno
Science Advisor
906
6
technically, yes, but if that was homework, and i were grading it, i don't think i'd give it full marks.

you should show a little more work, you haven't used the definition of trace anywhere...
 
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