Consider the following stress tensor: 5 0 0 T= 0 -6 -12 0 -12 1 First, draw this stress state on a representative 3D stress element. Next, find the eigenvalues (principal stresses) of this tensor by finding the determinate of [T-AI]. Next, find the three principal vectors, n(¹), n(²), and n(³) corresponding to each principal stress using the reduced row echelon method on the augmented matrix.

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain b…