Question 0.3: The components of a symmetric tensor \tau are
\tau _(\times )=3,\tau _(xy)=2,\tau _(xz)=-1
\tau _(yx)=2,\tau _(yy)=2,\tau _(yz)=1
\tau _(zx)=-1,\tau _(zy)=1,\tau _(zz)=4
The components of a vector v are ,v_(x)=5,v_(y)=3,v_(z)=-2
Evaluate
(a) \tau *v
(b) V*\tau
(c) (\tau :\tau )
(d) (v*[\tau *v])
(e) VV
(f) \tau *\delta _(1)