Trace of a Matrix Using the following definition, prove the properties of the trace in Problems 1-3.
Question:
The trace of an n x n matrix A = [aij], denoted Tr A, is the sum of the diagonal elements:
1. Tr(A+B) = TrA + TrB
2. Tr(cA) = cTrA
3. Tr (AT) =Tr A?
Transcribed Image Text:
α Σ = aji + a22 + akk. + ann = k=1
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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