Implement a function that returns the minimum number of$$scalar multiplications$$needed to compute the multiplication of$$n$$Matrices$$A$1*$ A$2*....$An$.$ The function takes the matrices' dimensions as an array.

Use the function to return$$ the minimum number of scalar multiplications of the following matrices$$A$1*$ A$2*$ A$3*$ A$4$:

A$1=[3$ by $7],$

A$2=[7$ by $4],$

A$3=[4$ by $5],$

A$4=[5$ by $2]$