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$A^2$ is a positive definite matrix.

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#matrices #positive-definite #symmetric-matrices
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Showing that the Jacobi method doesn't converge with $A=\begin{bmatrix}2 & \pm2\sqrt2 & 0 \\ \pm2\sqrt2&8&\pm2\sqrt2 \\ 0&\pm2\sqrt2&2 \end{bmatrix}$

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#matrices #numerical-methods #numerical-linear-algebra #symmetric-matrices
54
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Is $A-B$ never normal?

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#linear-algebra #matrices #symmetric-matrices #nilpotence
258
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Is a complex symmetric square matrix with zero diagonal diagonalizable?

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#linear-algebra #matrices #eigenvalues-eigenvectors #diagonalization #symmetric-matrices
708
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Symmetry of the tetrahedron as a subgroup of the cube

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#linear-algebra #symmetric-groups #symmetry #symmetric-matrices
256
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Rotating a matrix to become symmetric

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#linear-algebra #matrices #symmetric-matrices #orthogonal-matrices
1k
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Diagonalize real symmetric matrix

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#eigenvalues-eigenvectors #matrix-decomposition #symmetric-matrices
41
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How to solve for $L$ in $X = LL^T$?

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#matrices #matrix-decomposition #symmetric-matrices #positive-semidefinite
204
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Showing a block matrix is SPD

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#matrices #eigenvalues-eigenvectors #symmetric-matrices #positive-definite #block-matrices
1k
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Proving symmetric matrix has positive eigenvalues

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#linear-algebra #eigenvalues-eigenvectors #symmetric-matrices
47.3k
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What is the largest eigenvalue of the following matrix?

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#linear-algebra #matrices #eigenvalues-eigenvectors #symmetric-matrices
497
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Prove that $Q^{T}TQ$ is symmetric and tridiagonal, where $Q,R$ is $QR$ decomposition of symmetric tridiagonal matrix $T$

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#matrices #numerical-methods #symmetric-matrices #tridiagonal-matrices
98
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Exponentiation of a symmetric $2 \times 2$ matrix

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#matrices #exponentiation #symmetric-matrices
64
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Finding if symmetric matrix exists given eigenvectors

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#linear-algebra #eigenvalues-eigenvectors #symmetric-matrices
118
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determinant of 2×2 symmetric matrix

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#determinant #symmetric-matrices

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