Solved: Proof Define T: Mn,nR byT(A) = a11 + a22 + . . . +
Chapter 6, Problem 81(choose chapter or problem)
Define \(T: M_{n,n} \rightarrow R\) by \(T(A) = a_{11} + a_{22} + . . . + a_{nn}\) (the trace of A). Prove that T is a linear transformation.
Text Transcription:
T: M_n,n rightarrow R
T(A) = a_11 + a_22 + cdot + a_nn
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