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20170701 03:03:26 +0200  commented question  quadratic form def function(Q): When i give as input a quadratic form Q such as Q=QuadraticForm(SR,4,[0,0,0,1,0,1,0,0,0,0]) W=function(Q) the program give me a lot of errors 
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20170630 13:53:01 +0200  commented question  quadratic form i'm a sage beginner, i know what to do but i don't know how to implement it.. the idea is that i want to give in input a symmetrical nontrivial matrix A associated to the bilinear form B respect to the canonical base in R^n..then i want to obtain a subspace W⊆ R^n of maximal dimension such that the restriction Bwxw has max rank, in other words the matrix associated to this restriction has maximum rank and this condition occurs if kerW=[0].So i have to : 1. Give in input a matrix, 2. Declare the canonical basis of R^n and R 3. If B is the bilinear form and ei elements of the canonical base of R^n, i say that B(ei,ej)= A(i,j) with A(i,j) the i,j element of A 4. Obtain a subspace W ... (more) 
20170630 03:03:09 +0200  asked a question  quadratic form

20170630 03:03:09 +0200  asked a question  Bilinear form Write a function in Sage that accepts as input a symmetrical bilinear (not trivial) form B [caracterized by the associated matrix respect to the canonical base in R^n] and gives in output a vector subspace W ⊆ R^n such that:  Dim W=n  the restriction of B to WxW has maximum rank 