Numerical accuracy of solution increases if flexibility coefficients with larger values are located near main diagonal. This statement can be explained as follows:

Importance of Flexibility Coefficients in Structural Analysis
In structural analysis, flexibility coefficients are used to determine the response of a structure to applied loads. These coefficients represent the deformation of the structure due to unit loads applied at various points. The flexibility coefficients are arranged in a matrix called the flexibility matrix.

Role of Flexibility Matrix in Structural Analysis
The flexibility matrix is an important tool in structural analysis as it is used to solve the equations of equilibrium and determine the displacements and forces in the structure. Therefore, the accuracy of the solution depends on the accuracy of the flexibility matrix.

Location of Flexibility Coefficients
The flexibility coefficients are located in the off-diagonal positions of the flexibility matrix. The value of these coefficients depends on the geometry and stiffness of the structure. In general, the flexibility coefficients near the diagonal of the matrix have larger values than those near the edges.

Effect of Flexibility Coefficient Values on Numerical Accuracy
The numerical accuracy of the solution depends on the values of the flexibility coefficients. If the flexibility coefficients with larger values are located near the main diagonal, the accuracy of the solution increases. This is because the diagonal terms have a greater influence on the solution than the off-diagonal terms. Therefore, if the larger values are located near the diagonal, the solution will be more accurate.

Conclusion
In conclusion, the numerical accuracy of the solution in structural analysis depends on the location of the flexibility coefficients. If the larger values are located near the main diagonal, the accuracy of the solution increases. This is because the diagonal terms have a greater influence on the solution than the off-diagonal terms.