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Proving symplectic identity

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#linear-algebra #symplectic-geometry #skew-symmetric-matrices
108
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rank of $(A+A^{T})$ when $A$ is skew symmetric

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#linear-algebra #matrices #matrix-rank #transpose #skew-symmetric-matrices
91
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Localisation of eigenvalues for a skew-symmetric matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #skew-symmetric-matrices
345
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Equivalence of skew-symmetric matrices

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#linear-algebra #matrices #permutations #skew-symmetric-matrices
137
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Determinant of skew symmetric matrix

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#linear-algebra #matrices #determinant #skew-symmetric-matrices
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Is every odd order skew-symmetric matrix singular?

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#linear-algebra #matrices #skew-symmetric-matrices
2.7k
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Is it possible to have a $3 \times 3$ matrix that is both orthogonal and skew-symmetric?

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#linear-algebra #matrices #orthogonal-matrices #skew-symmetric-matrices
237
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Congruence of skew-symmetric matrices

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#matrices #matrix-congruences #skew-symmetric-matrices
253
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Optimization Problem with a skew-symmetric matrix as a variable

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#optimization #matrix-equations #lagrange-multiplier #skew-symmetric-matrices
109
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Manipulation of a multiple cross product expression using skew symmetric matrices

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#cross-product #skew-symmetric-matrices
68
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Is it always true that matrix representation of a skew-symmetric non-degenerate bilinear form is orthogonal with respect to some basis?

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#orthogonality #bilinear-form #skew-symmetric-matrices #involutions
152
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Prove: if $\bf{AB^T}$ is skew-symmetric and $\bf A$ full-rank, then $\bf{AX}=\bf B$ has unique solution $\bf X$

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#linear-algebra #systems-of-equations #pseudoinverse #skew-symmetric-matrices
133
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Antisymmetric polynomials in two variables

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#functions #polynomials #symmetric-polynomials #skew-symmetric-matrices
62
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Why is the transport operator skew-symmetric?

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#operator-theory #skew-symmetric-matrices
274
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If $A$ is $n \times n$ skew-symmetric matrix where $n$ is an odd integer number, then $A$ is singular.

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#linear-algebra #matrices #determinant #skew-symmetric-matrices

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