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Can the operator $\operatorname{id}_V-(AB-BA)$ be nilpotent in the infinite-dimensional case.

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#linear-algebra #abstract-algebra #matrices #trace #nilpotence
498
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Trace of positive semidefinite matrix

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#linear-algebra #matrices #inequality #trace #positive-semidefinite
73
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Related to the trace of the product of two symmteric matrices

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#matrices #trace
615
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Trace and Determinant of a linear map $T$ which is not necessarily diagonalizable

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #determinant #trace
106
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Question about eigenvalues of a matrix and powers and trace of a matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #trace
291
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The trace of an affine transformation

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#trace #affine-geometry
911
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derivative of the determinant of the sum of two matrices

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#matrices #derivatives #matrix-calculus #trace
868
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Proof of inner product trace matrices on complexe plan

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#linear-algebra #matrices #inner-products #trace
57
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Trace of the mutiplication of many identical matrices

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#abstract-algebra #matrices #diagonalization #trace
195
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derivative of the trace of a quantity involving Kronecker product.

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#derivatives #trace #kronecker-product
3.7k
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Derivative of the trace of the product of a matrix and its transpose

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#matrices #derivatives #matrix-calculus #trace #scalar-fields
60
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Relative trace of element

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#number-theory #algebraic-number-theory #trace
879
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Proof that trace is non-negative: positive definite matrix and a vector

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#linear-algebra #trace
49
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When does $\det(I+G^\top A^{-1}G) \leq \det(I+G^\top D^{-1}G) $ hold?

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#linear-algebra #determinant #numerical-linear-algebra #trace
914
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Shouldn't the trace of an orthogonal projector be in $\mathbb{N}$?

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#linear-algebra #linear-transformations #matrix-rank #trace #projection-matrices

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