Hi folks, I got the following weirdness from a bug report on Facebook. The report references this worksheet:
http://www.sagenb.org/home/pub/1362/ [mv...@mod sage-4.3.1.alpha2]$ ./sage ---------------------------------------------------------------------- | Sage Version 4.3.1.alpha2, Release Date: 2010-01-13 | | Type notebook() for the GUI, and license() for information. | ---------------------------------------------------------------------- ********************************************************************** * * * Warning: this is a prerelease version, and it may be unstable. * * * ********************************************************************** sage: var("a1, b1, c1, d1, a2, b2, c2, d2"); sage: A = matrix([[a1,b1], [c1,d1]]) sage: B = matrix([[a2,b2], [c2,d2]]) sage: M = A*B sage: y = expand(M.det()); y a1*a2*d1*d2 - a1*b2*c2*d1 - a2*b1*c1*d2 + b1*b2*c1*c2 sage: simplify(y) b1*b2*c1*c2 - a1*b2*c2*factorial(k + 2*n - 1)/factorial(2*k + 4*n) - a2*b1*c1*factorial(k + 3*n - 1)/factorial(2*k + 6*n) + a1*a2*factorial(k + 2*n - 1)*factorial(k + 3*n - 1)/(factorial(2*k + 4*n)*factorial(2*k + 6*n)) sage: sage: sage: reset() sage: var("a, b, c, d, e, f, g, h"); sage: S = matrix([[a,b], [c,d]]) sage: D = matrix([[e,f], [g,h]]) sage: K = S*D sage: y = expand(K.det()); y a*d*e*h - a*d*f*g - b*c*e*h + b*c*f*g sage: simplify(y) -a*d*f*g + a*d*h*e + b*c*f*g - b*c*h*e -- Regards Minh Van Nguyen
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