3) Let A be a symmetric tensor with matrix components in a right-handed reference frame E={0; ei, e2,, e3} as 5 -2 0 4 1 [A]= -2 0 1 3 By the solution of the associated eigenvalue problem, develop a right-handed principal frame for A and draw a 3D picture of it relative to the reference frame . Determine the components Qij of the orthogonal tensor Q which takes the original frame to the principal frame. Verify that (a) e?" =Q+e; , (b) Q is an orthogonal tensor, and (c) your choice of {e}", e?", } constitutes a right-handed frame by checking e?" xe" PF PF e 3) Let A be a symmetric tensor with matrix components in a right-handed reference frame E={0; ei, e2,, e3} as 5 -2 0 4 1 [A]= -2 0 1 3 By the solution of the associated eigenvalue problem, develop a right-handed principal frame for A and draw a 3D picture of it relative to the reference frame . Determine the components Qij of the orthogonal tensor Q which takes the original frame to the principal frame. Verify that (a) e?" =Q+e; , (b) Q is an orthogonal tensor, and (c) your choice of {e}", e?", } constitutes a right-handed frame by checking e?" xe" PF PF e