a) For the arbitrary and dimensionless tensors listed below,

T

, find their representation

T^(')

in a new coordinate system obtained after applying the Euler rotation

\\\\phi 1=90\\\\deg ,\\\\Phi =45\\\\deg

,

\\\\phi 2=90\\\\deg

.\ i)

T=[[30,0,0],[0,30,0],[0,0,30]]

,\ ii)

T=[[30,0,0],[0,-30,0],[0,0,30]]

,\ iii)

T=[[5,0,-10],[0,5,0],[-10,0,5]]

\ It is recommended that you use Jupyter.\ Note: as with any homework assignment collaboration between students can be very productive and is encouraged. However, each student must develop and write her or his own work when using computer software.\ b) For each tensor calculate the determinant before and after the rotation.