02/12/2021, 11:17 PM

For the " tommy octonion " we have the following Jacobi matrix.

By that I mean the Jacobi matrix for taking f(X) = X^2 in that number system.

see pictures.

The inverse of that matrix corresponds to taking the square root whenever the matrix is invertible (the determinant of the original Jacobi is not zero).

( see : https://en.wikipedia.org/wiki/Inverse_function_theorem )

regards

tommy1729

Tom Marcel Raes

By that I mean the Jacobi matrix for taking f(X) = X^2 in that number system.

see pictures.

The inverse of that matrix corresponds to taking the square root whenever the matrix is invertible (the determinant of the original Jacobi is not zero).

( see : https://en.wikipedia.org/wiki/Inverse_function_theorem )

regards

tommy1729

Tom Marcel Raes