Given is a quadratic spline curve p$($t$)=$T M G with the geometric constraint vector

G$=($p$0,$r$0,$p$1)^$T

The curve is defined by the three conditions p$(0)=$ p$0($start point$),$ p$\text{'}(0)=$ r$0($start tangent$),$ and p$(1)=$ p$1($end point$).$

Implement this curve by computing its basis functions and completing the code fragment below.

derive the basis functions of the Hermite curve.

Note that in order to get the basis functions you need to invert a $3$x$3$ matrix.