Transposed equations

The transposed equations of a linear algebraic system are the linear equations with the transposed matrix as coefficient matrix.

In the case of linear integral equations (cf. Integral equation), transposed equations are equations with kernels and .

Transposed equations are also called adjoint equations or associated equations.

Comments

The transposed equation of an integral equation plays an important role in the Fredholm alternative.

References

[a1]	K. Jörgens, "Lineare Integraloperatoren" , Teubner (1970)
[a2]	V.I. Smirnov, "A course of higher mathematics" , 4 , Addison-Wesley (1964) (Translated from Russian)