List of top Civil Structural and Transport Engineering Questions on Eigenvalues and Eigenvectors asked in CUET (PG)

A clay sample has a void ratio of 0.5 in dry state. The specific gravity of soil solids is 2.5. What is the shrinkage limit of the soil?
Where does the maximum bending stress occur in a simply supported beam?

For the matrix, $A = \begin{bmatrix} -4 & 0 \\ -1.6 & 4 \end{bmatrix}$, the eigenvalues ($\lambda$) and eigenvectors ($X$) respectively are: