Please show step by step solution, and please use math equations that are easy to read.

Show that each of the following stress$-$rates of the Cauchy stress tensor $$ is objective under a rigid body rotation $Q$ :

a$){}^{**}={}^{}-l*-*l^T$

b$)={}^{}+l^T*+*l$

c$){}^{}={}^{}+*R^{}*R^T-R^{}*R^T*$

d$){}^{\text{g}\text{r}\text{a}\text{d}}={}^{}+*{}^{}-{}^{}*$