Using language F# . Full and complete answer in order to get full credit please. Do not copy- paste from a diferent site. Thank you.

1)Given vectors u = (u₁, u₂,..., u_n) and v = (v₁, v₂,..., v_n), the inner product of u and v is defined to be u₁*v₁ + u₂*v₂ + ... + u_n*v_n. Write a curried F# function inner that takes two vectors represented as int lists and returns their inner product:

 > inner [1;2;3] [4;5;6];; val it : int = 32 

(Assume that the two lists have the same length.)

2)Given an m-by-n matrix A and an n-by-p matrix B, the product of A and B is an m-by-p matrix whose entry in position (i,j) is the inner product of row iof A with column j of B. For example,

 / 0 1 \ / 1 2 3 \ * | 3 2 | = / 9 11 \ \ 4 5 6 / \ 1 2 / \ 21 26 / 

Write an uncurried F# function to do matrix multiplication:

 > multiply ([[1;2;3];[4;5;6]], [[0;1];[3;2];[1;2]]);; val it : int list list = [[9; 11]; [21; 26]] 

Assume that the dimensions of the matrices are appropriate.

Hint: Use transpose (from Homework 2), inner, and List.map.