$($a$)$ R is a $4*4$ matrix and A$,$ and B are $4*1$ matrixes. If C$=$R$*$A$+$B$,$ T is matrix that can

perform this mathematical operation $($adding and multiplying$)$ at one$-$step $($only

multiplying$)$ C$=$T$*$A$.$

$($i$)$ What is T$$s dimensions?

$($ii$)$ What is T$$s last row?

$($b$)$ What are the different types of the end effectors for the robotics arms?