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A symmetric matrix that is similar to a diagonal matrix

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#linear-algebra #symmetric-matrices #orthogonal-matrices #matrix-congruences
29
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Show that a matrix A above the R field is congruent to itself squared iff A is non-negative

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#abstract-algebra #matrices #symmetric-matrices #positive-semidefinite #matrix-congruences
223
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Interpretation of *congruence for complex matrices

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#matrix-decomposition #congruence-relations #matrix-congruences
990
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Matrix Congruence and Quadratic Forms

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#linear-algebra #quadratic-forms #matrix-congruences
1k
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Congruence Classes of Quadratic Forms

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#linear-algebra #quadratic-forms #change-of-basis #matrix-congruences
396
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Why is the first $p$-adic congruence subgroup a pro-$p$ group?

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#abstract-algebra #p-adic-number-theory #p-groups #pro-p-groups #matrix-congruences
323
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Matrix congruence - find transition matrix

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#linear-algebra #matrix-congruences
234
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Congruence of skew-symmetric matrices

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#matrices #matrix-congruences #skew-symmetric-matrices
88
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Some clarification over matrix congruence, matrix similarity, and the (finite-dim) spectral theorem

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#linear-algebra #eigenvalues-eigenvectors #similar-matrices #matrix-congruences
63
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How can I tell if these matrices are congruent?

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#linear-algebra #matrices #quadratic-forms #matrix-congruences
34
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Determinant of $ADA^\top$, where $D$ is diagonal and $A$ is wide

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#linear-algebra #determinant #positive-definite #matrix-congruences
1.4k
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Change basis so that a positive definite matrix $A$ is now seen as $I$.

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#linear-algebra #matrix-congruences
195
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What is the Lie group that leaves this matrix invariant?

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#group-theory #matrices #lie-groups #direct-sum #matrix-congruences
188
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Is the inverse of a M-Matrix again an M-Matrix?

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#matrices #matrix-decomposition #matrix-congruences
2.9k
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Eigenvalues and eigenvectors after a congruence transformation

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#eigenvalues-eigenvectors #matrix-congruences

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