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I currently trying to get polynomials over quaternions out of determinants of matrices. Example giving below:
Q.<i,j,k> = QuaternionAlgebra(SR, -1, -1)
A=matrix(4,4,[0,j,0,j,j,0,0,j,0,0,0,0,j,j,0,0])
I=matrix.identity(4)
P=(jA-xI)
P.det()
But it doesn't work. Any idea?
I currently trying to get polynomials over quaternions out of determinants of matrices. Example giving below:
Q.<i,j,k> = QuaternionAlgebra(SR, -1, -1)
A=matrix(4,4,[0,j,0,j,j,0,0,j,0,0,0,0,j,j,0,0])
I=matrix.identity(4)
P=(jA-xI)P=(j*A-x*I)P.det()
But it doesn't work. Any idea?
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