For the homogenous set of equations involving an integral kernel and its complex conjugate, Fredholm's theorem states for any fixed value of lambda these equations have either a trivial solution or the same number of solutions with this property.
For the homogenous set of equations involving an integral kernel and its complex conjugate, Fredholm's theorem states for any fixed value of lambda these equations have either a trivial solution or the same number of solutions with this property. If the determinant of the associated Wronskian for a set of functions is not equal to zero than the functions are said to be this with respect to one another. This property holds for a set of vectors n  in the matrix m  if and only if m  is diagonalizable, in which case the rank of the matrix is n. For 10 points, name this property in linear algebra that determines whether a set of vectors can be expressed as a linear combination of the other vectors in the set.
For the homogenous set of equations involving an integral kernel and its complex conjugate, Fredholm's theorem states for any fixed value of lambda these equations have either a trivial solution or the same number of solutions with this property.
Linear Independence [accept Linearly Independent]