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- Signature_matrix abstract "In mathematics, a signature matrix is a diagonal matrix whose diagonal elements are plus or minus 1, that is, any matrix of the form:Any such matrix is its own inverse, hence is an involutary matrix. It is consequently a square root of the identity matrix. Note however that not all square roots of the identity are signature matrices.Noting that signature matrices are both symmetric and involutary, they are thus orthogonal. Consequently, any linear transformation corresponding to a signature matrix constitutes an isometry.Geometrically, signature matrices represent a reflection in each of the axes corresponding to the negated rows or columns.".
- Signature_matrix wikiPageID "7887913".
- Signature_matrix wikiPageRevisionID "544588429".
- Signature_matrix hasPhotoCollection Signature_matrix.
- Signature_matrix subject Category:Matrices.
- Signature_matrix type Abstraction100002137.
- Signature_matrix type Arrangement107938773.
- Signature_matrix type Array107939382.
- Signature_matrix type Group100031264.
- Signature_matrix type Matrices.
- Signature_matrix type Matrix108267640.
- Signature_matrix comment "In mathematics, a signature matrix is a diagonal matrix whose diagonal elements are plus or minus 1, that is, any matrix of the form:Any such matrix is its own inverse, hence is an involutary matrix. It is consequently a square root of the identity matrix. Note however that not all square roots of the identity are signature matrices.Noting that signature matrices are both symmetric and involutary, they are thus orthogonal.".
- Signature_matrix label "Signature matrix".
- Signature_matrix sameAs m.026hq9g.
- Signature_matrix sameAs Q4921154.
- Signature_matrix sameAs Q4921154.
- Signature_matrix sameAs Signature_matrix.
- Signature_matrix wasDerivedFrom Signature_matrix?oldid=544588429.
- Signature_matrix isPrimaryTopicOf Signature_matrix.