Some spectral characteristics of $\lambda$-matrices

The investigation of spectral properties and characteristics of $\lambda$-matrices of general form is continued. The concept of a matrix solution is extended to the case of singular $\lambda$-matrices. The concept of reducing subspaces and the concepts of a block eigenvalue and a block eigenvector are generalized. Existence theorems are proved; spectral properties of matrix quantities associated with the concepts indicated and their generalizations are established.