Before solving the question, PLEASE MAKE SURE YOU HAVE a STRONG UNDERSTANDING OF the MATERIAL RELATED TO THIS PROBLEM AND DO NOT POST a SOLUTION UNLESS YOU ARE FULLY SURE ABOUT THE ANSWER. Show completely your solution and make it clearly readable. Please solve all the questions because all of them are related, and I cannot post each one individually as well as my package for this month is over and I really need them!

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Using Python if needed, answer the following questions with TYPING the code (i.e, provide the code typed on the answer with screenshot so I can copy it)

1. Create examples of zero vector, one vector, square matrix, diagonal matrix, identity matrix, and symmetric matrix one by one, and represent vectors and matrices with NumPy 2. The shares of three companies A, B, and C are 1 million won, 800,000 won, and 500,000 won, respectively. We want to find the amount required to purchase 3, 4, and 5 shares of these stocks, respectively. 1) Express the stocks price and quantity as p vector and n vector, respectively and coded with NumPy. 2) The amount required to purchase stocks is expressed by multiplication, and the value is calculated by Numpy operation. 7. The ratings given by three users a, b, and c to 4 movies are expressed as vectors as follows. 4 0 2 5 2 2 2 0 a = ,b = C = 1) Find the Euclidean distance between a, b, and c. Which two users are the closest? And which two users are farthest apart? 2) Find the cosine distance between a, b, and c. Which two users are the closest? And which two users are farthest apart