Given a vector space V over the field R, an Inner Producton V is a (bilinear) function with the following properties 1 . Symmetry-(x, y)-(xx) 2. Positive definiteness-(x, x? 0 & ?x?x)-0-x-0 3. (BiLinearity-(ar + y?z) = a(x?z) + ?y?z) for any scalar a. As we've seen with the Conjugate Gradient Method, given a square symmetric positive definite matrix A, an inner producton R." is given by 1) Write a Python function called dot& which takes three arguments (a square symmetric positive definite matrix A, and two vectors x and y), and computes the matrix inner product (x, y)A Test your code with examples and show that it works. (10 points) Given a vector space V over the field R, an Inner Producton V is a (bilinear) function with the following properties 1 . Symmetry-(x, y)-(xx) 2. Positive definiteness-(x, x? 0 & ?x?x)-0-x-0 3. (BiLinearity-(ar + y?z) = a(x?z) + ?y?z) for any scalar a. As we've seen with the Conjugate Gradient Method, given a square symmetric positive definite matrix A, an inner producton R." is given by 1) Write a Python function called dot& which takes three arguments (a square symmetric positive definite matrix A, and two vectors x and y), and computes the matrix inner product (x, y)A Test your code with examples and show that it works. (10 points)