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Trace
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Finding a symmetric 3x3 matrix from 2 eigenvectors and 2 eigenvalues
December 6th, 2020
eigenvalues-eigenvectors
matrices
linear-algebra
trace
The Trace Class Operators Form a Banach Space
January 26th, 2020
functional-analysis
trace
hilbert-spaces
banach-spaces
eigenvalues-eigenvectors
Derivative of a trace
August 1st, 2022
trace
linear-algebra
matrices
derivatives
Are Trace of product of matrices- distributive/associative?
October 30th, 2020
trace
numerical-linear-algebra
matrices
linear-algebra
Matrix derivative of $\mbox{Tr} (\mathbf{AXB})$
September 28th, 2020
scalar-fields
trace
matrix-calculus
derivatives
matrices
Change in singular values of matrix after left-multiply with a diagonal matrix
August 1st, 2022
trace
matrices
eigenvalues-eigenvectors
normed-spaces
svd
Trace of a linear map
August 1st, 2022
inner-products
trace
linear-algebra
Trace of product of three Pauli matrices
August 1st, 2022
matrices
trace
linear-algebra
Inequality for trace of product of matrices
August 1st, 2022
positive-definite
trace
matrices
linear-algebra
If $A, B$ are positive semi-definite, then $Tr(AB) = 0$ iff $AB = 0.$
August 1st, 2022
matrices
trace
proof-explanation
positive-semidefinite
linear-algebra
Differential and derivative of the trace of a matrix
August 1st, 2022
matrices
derivatives
trace
Trace of Integral
August 1st, 2022
integration
trace
Trace of a Matrix Product.
October 9th, 2020
trace
linear-algebra
matrices
analysis
vectors
If $AB = -BA$, then tr$(A) = $ tr$(B) = 0 $
August 1st, 2022
linear-algebra
matrices
trace
Prove $\mathrm{tr}(A^2) \leq\mathrm{tr}(A^TA)$
August 1st, 2022
matrices
linear-algebra
trace
Consider the trace map $M_n (\mathbb{R}) \to \mathbb{R}$. What is its kernel?
March 23rd, 2020
linear-algebra
matrix-calculus
trace
transformation
matrices
How can we prove that the space of trace class operators on a Hilbert space $H$ is the closure of $H\otimes H$ with respect to the trace norm?
March 29th, 2020
trace
functional-analysis
operator-theory
hilbert-spaces
Trace of the exterior power as a determinant
June 2nd, 2020
multilinear-algebra
linear-algebra
trace
reference-request
determinant
Proof that frobenius norm is a norm
August 1st, 2022
normed-spaces
matrices
linear-algebra
trace
The trace-determinant plane, classification of equilibria of differential equations
August 1st, 2022
linear-algebra
trace
determinant
ordinary-differential-equations
Questions about matrix rank, trace, and invertibility
August 1st, 2022
trace
matrix-rank
inverse
matrices
linear-algebra
Which relationship between trace and determinant is established using density?
August 1st, 2022
analysis
linear-algebra
trace
determinant
matrices
Computing the partial trace of a matrix
August 1st, 2022
linear-transformations
index-notation
linear-algebra
matrices
trace
An inequality for symmetric matrices: $ \mbox{trace}(XY)\leq \lambda(X)^T\lambda(Y) $.
August 1st, 2022
inequality
linear-algebra
trace
matrices
Intuition of the cyclic trace property of matrix products and relation to the determinant?
August 1st, 2022
trace
matrices
determinant
Problem with Jacobi's formula for determinants
August 1st, 2022
trace
linear-algebra
determinant
To Prove $x'Ax=\mathrm{tr}(xAx')=\mathrm{tr}(Axx')=\mathrm{tr}(xx'A)$
August 1st, 2022
linear-algebra
trace
matrices
gramian matrix and trace relationship
August 1st, 2022
intuition
trace
linear-algebra
matrices
Is $\mbox{trace}(XX^T)$ a convex function of matrix $X$?
August 1st, 2022
trace
convex-analysis
An example of non-similar matrices with same eigenvalues, rank and determinant
August 1st, 2022
matrix-rank
linear-algebra
eigenvalues-eigenvectors
determinant
trace
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