Uniqueness theorem
Prove that the solution to the Laplace’s equation in a spatial
region is unique if the potential is specified on the surface of
the region.
For the differential equation dy/dx=sqrt(y^2−36) does the
existence/uniqueness theorem guarantee that there is a solution to
this equation through the point
1. (1,6)
2. (4,42)
3. (−2,38)
4. (7,−6)
Explain how the rank of a matrix and existence and uniqueness of
solutions of “Systems of Linear Equations” are related
.
Explain how Eigenfunctions”, “Eigenvalues” and “Orthogonality”
terms and concepts are defined in Matrix algebra.