Task $2$: Eigenvector Calculation

Assignment: Create a C program that calculates the eigenvector corresponding to a given eigenvalue of a square matrix. The program should implement the inverse iteration method to find the eigenvector. Allow the user to input a square matrix, an eigenvalue, and calculate the corresponding eigenvector.

Requirements:

Implement the inverse iteration method for eigenvector calculation.

Prompt the user for the dimensions and elements of the input matrix, and the eigenvalue.

Compute and display the eigenvector corresponding to the given eigenvalue.

Include a convergence check and handle cases of non$-$convergence.

Add comments explaining the concept of eigenvectors and the implemented algorithm.