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Please, I want to know a relation connect trace and determinant of matrix

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Please, I want to know a relation connect trace and determinant of matrix
Answered Same Day Dec 20, 2021

Solution

David answered on Dec 20 2021
125 Votes
Properties of the determinant in relation to other notions:
The trace tr(A) is by definition the sum of the diagonal entries of A and also equals the sum of
the eigenvalues. Thus, for complex matrices A,
or, for real matrices A,


Here exp(A) denotes the matrix exponential of A, because every eigenvalue λ of A...
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