About: Square root of a 2 by 2 matrix

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A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there can be zero, two, four, or even an infinitude of square-root matrices. In many cases, such a matrix R can be obtained by an explicit formula.

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rdf:type	yago:WikicatMatrices yago:Abstraction100002137 yago:Arrangement107938773 yago:Array107939382 yago:Group100031264 yago:Matrix108267640
rdfs:label	Square root of a 2 by 2 matrix (en)
rdfs:comment	A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there can be zero, two, four, or even an infinitude of square-root matrices. In many cases, such a matrix R can be obtained by an explicit formula. (en)
dcterms:subject	Matrices
Wikipage page ID	33846186 (xsd:integer)
Wikipage revision ID	1115508007 (xsd:integer)
Link from a Wikipage to another Wikipage	Determinant Matrix (mathematics) Symmetric matrix Eigenvalue Idempotent matrix Identity matrix Matrices Trace (mathematics) Positive-definite matrix Square root of a matrix Matrix product Rank of a matrix
sameAs	Square root of a 2 by 2 matrix Square root of a 2 by 2 matrix Square root of a 2 by 2 matrix Square root of a 2 by 2 matrix Square root of a 2 by 2 matrix
dbp:wikiPageUsesTemplate	dbt:Math dbt:R dbt:Reflist
has abstract	A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there can be zero, two, four, or even an infinitude of square-root matrices. In many cases, such a matrix R can be obtained by an explicit formula. Square roots that are not the all-zeros matrix come in pairs: if R is a square root of M, then −R is also a square root of M, since (−R)(−R) = (−1)(−1)(RR) = R2 = M.A 2×2 matrix with two distinct nonzero eigenvalues has four square roots. A positive-definite matrix has precisely one positive-definite square root. (en)
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page length (characters) of wiki page	7335 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Square_root_of_a_2_by_2_matrix
is rdfs:seeAlso of	Square root Square root of a matrix
is Link from a Wikipage to another Wikipage of	Logarithm of a matrix Identity matrix Square root of a matrix Square root of a 2X2 matrix Square root of a 2 X 2 matrix Square root of a 2 x 2 matrix Square root of a 2 × 2 matrix Square root of a 2x2 matrix Square root of a 2×2 matrix
is Wikipage redirect of	Square root of a 2X2 matrix Square root of a 2 X 2 matrix Square root of a 2 x 2 matrix Square root of a 2 × 2 matrix Square root of a 2x2 matrix Square root of a 2×2 matrix
is foaf:primaryTopic of	wikipedia-en:Square_root_of_a_2_by_2_matrix

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