getMatrix -- returns the Gram matrix of a stable or unstable Grothendieck-Witt class

Description

i1 : M = matrix(QQ, {{0,1},{1,0}})

o1 = | 0 1 |
     | 1 0 |

              2       2
o1 : Matrix QQ  <-- QQ

i2 : getMatrix makeGWClass M

o2 = | 0 1 |
     | 1 0 |

              2       2
o2 : Matrix QQ  <-- QQ

i3 : getMatrix makeGWuClass(M, -4)

o3 = | 0 1 |
     | 1 0 |

              2       2
o3 : Matrix QQ  <-- QQ

See also

• GrothendieckWittClass -- a new type intended to capture the isomorphism class of an element of the Grothendieck-Witt ring of a field or finite étale algebras over a field
• UnstableGrothendieckWittClass -- a new type intended to capture an element of the unstable Grothendieck-Witt group of a field or finite étale algebras over a field
• getAlgebra -- returns the algebra over which a stable or unstable Grothendieck-Witt class is defined
• getBaseField -- returns the base field of a stable or unstable Grothendieck-Witt class
• getScalar -- returns the non-zero scalar of an unstable Grothendieck-Witt class
• makeGWClass -- the Grothendieck-Witt class of a symmetric matrix
• makeGWuClass -- constructor for unstable Grothendieck-Witt classes