mathlib
4c4243c5 - feat(linear_algebra): determinant of vectors in a basis (#3919)

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5 years ago
feat(linear_algebra): determinant of vectors in a basis (#3919) From the sphere eversion project, define the determinant of a family of vectors with respects to a basis. The main result is `is_basis.iff_det` asserting a family of vectors is a basis iff its determinant in some basis is invertible. Also renames `equiv_fun_basis` to `is_basis.equiv_fun` and `equiv_fun_basis_symm_apply` to `is_basis.equiv_fun_symm_apply`, in order to use dot notation. Co-authored-by: Anne Baanen t.baanen@vu.nl Co-authored-by: Rob Lewis <Rob.y.lewis@gmail.com> Co-authored-by: Rob Lewis <rob.y.lewis@gmail.com>
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