Question

How stiffness matrix become singular and non singular?

Answer 1

Step-by-step explanation:

The stiffness matrix is a positive semidefinite matrix arising from the solution of a partial differential equation using finite element methods. For practical purposes, the stiffness matrix is actually positive definite, because of the presence of boundary conditions, so it is nonsingula

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Answer 2

It is interesting to see that, all eigenvectors with zero eigenvalues represent nullspace of the stiffness matrix. ... From linear algebra we know that if an eigenvalue of a matrix becomes zero, it's determinant also becomes zero and hence matrix becomes singular or non-invertible