AC[0] is the first *row* of the matrix. In other words a vector

sage: M = matrix(3, range(9))
sage: M[0]
(0, 1, 2)
sage: _.parent()
Ambient free module of rank 3 over the principal ideal
domain Integer Ring

Replace AC[0] by AC[0,0] in your code or whatever is appropriate...

Vincent

On 01/01/16 19:41, saad khalid wrote:
Hey everyone:

For what I'm working on, I'm trying to take transform two variables over a
matrix A, and then have the transformed variables plug into a function.




reset()
n = var("n")
x = var("x")
j = var("j")
k = var("k")
y = var('y')
z = var('z')

A = lambda n,j: (matrix([[cos(2*pi/n), -sin(2*pi/n)],[sin(2*pi/n), cos(2*pi/
n)]]))^j
C = matrix([[2],[3]])

AC = A(3,2)*C

a = AC[0]
b = AC[1]

fx1y0 = lambda x,y: x + 11
fx1y1 = lambda x,y: x + y + 11
fx2y1 = lambda x,y: x^2 + y + 11

fx1y0(a,b)


The error I'm getting when I plug in a and b into fx1y0 is this:

TypeError: unsupported operand parent(s) for '+': 'Vector space of dimension 1 
over Symbolic Ring' and 'Integer Ring'


I think the problem is that it is treating a and b as 1 dimensional vectors, 
when all I want is for a and b to contain the values at the location in the 
matrix that I specify. Basically, I think I want it to treat the matrix as an 
array, in terms of me getting values from it. Does anyone know how I could fix 
this?








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