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$A$ is a symmetric matrix such that $A^4=A$. Prove that $A$ is idempotent

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#linear-algebra #matrices #matrix-equations #symmetric-matrices #idempotents
167
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Matrix equation with symmetric and positive definite matrices

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#matrices #matrix-equations #positive-definite #symmetric-matrices
3.5k
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Does $A$ is similar to a symmetric matrix $\implies $ $A$ is symmetric?

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#linear-algebra #matrices #symmetric-matrices
168
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Are roots of $\det(A-tB)$ with symmetric matrices real?

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#linear-algebra #polynomials #determinant #roots #symmetric-matrices
654
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Positive-definite, Symmetric Matrix Problem

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#linear-algebra #matrices #determinant #trace #symmetric-matrices
139
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Assess the Lie-bracket of random matrices.

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#linear-algebra #lie-groups #symmetric-matrices #random-matrices
267
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Find the eigenvalues of $A$?

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #diagonalization #symmetric-matrices
485
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Lower bound spectral radius of matrix

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#linear-algebra #eigenvalues-eigenvectors #symmetric-matrices #upper-lower-bounds #spectral-radius
964
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On the eigenvalues of a block-symmetric matrix

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#linear-algebra #matrices #linear-transformations #inverse #symmetric-matrices
45
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For a real square matrix $S$, what can be said about $Tr(S^2)$?

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#linear-algebra #matrices #matrix-decomposition #trace #symmetric-matrices
89
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Quadratic/Bilinear form positive definiteness

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#linear-algebra #quadratic-forms #bilinear-form #symmetric-matrices
1.6k
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Quadratic forms, change of variables

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#quadratics #diagonalization #symmetric-matrices #quadrics
51
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Diagonalising a symmetric matrix and diagonalizing a quadratic form

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#linear-algebra #elementary-number-theory #quadratic-forms #symmetric-matrices
52
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On the positve definiteness of a particular matrix and inverse

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#linear-algebra #matrices #positive-definite #symmetric-matrices #positive-semidefinite
172
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Create a matrix with a given sparsity pattern and whose condition number is low

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#linear-algebra #matrices #matlab #symmetric-matrices #condition-number

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