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Symbolic matrix calculation

asked 2014-08-28 17:47:41 +0200

wpunkt gravatar image

updated 2014-08-28 17:48:47 +0200

Is it possible to do symbolic matrix calculation with sage? What I like to do is somehow declare that U_n are unitary matrices (without giving their dimension or explicit representation). Once declared I'd like sage to exploit the unitarity when it is evaluating expressions involving U_n, like:

A=U_1.H * U_1 * U_2

should yield


Is this possible?

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answered 2014-08-29 19:58:29 +0200

tmonteil gravatar image

I am not sure you can hope for more relations than working in an abstract free group if you do not assume anything about your unitary matrices:

sage:  G.<U1,U2,U3> = FreeGroup()
sage: G
Free Group on generators {U1, U2, U3}

sage: A = U1*U1^(-1)*U2
sage: A
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Asked: 2014-08-28 17:47:41 +0200

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Last updated: Aug 29 '14