You will create a program that repeatedly multiplies a matrix by a point and plots the data to the screen. in this case, we will have a 2d point, (x, y). the point can be represented as a vector: v = 101: we can also define a 2x2 matrix, m = tlc di comput . computing the product of m with v gives us a new point v': mv = v'. we can then use v' as the new point, multiply by matrix m again, and get another point, i. e. mv' = v'. this can go on indefinitely, creating a long sequence of points. create a program that uses numpy to create a matrix and a point. specifically, you should begin : 1.00583 -0.087156] with the point (1,0), and the matrix: . then, repeatedly multiply the "10.087156 1.00583 ) matrix by the point to get a new point. you should repeat this between 150 and 250 times. then, make your program plot the data points, using matplotlib. be sure to label the axes, and include a title. your title should give a brief description of the shape that the points "trace" out.

Eye injuries usually occur as a result of all of the following things, except: a) proper machine operation b) battery explosion c) falling or flying debris d) electric welding arc

Animations and transitions are added from the

File account.java (see previous exercise) contains a definition for a simple bank account class with methods to withdraw, deposit, get the balance and account number, and return a string representation. note that the constructor for this class creates a random account number. save this class to your directory and study it to see how it works. then write the following additional code: 1. suppose the bank wants to keep track of how many accounts exist. a. declare a private static integer variable numaccounts to hold this value. like all instance and static variables, it will be initialized (to 0, since it’s an int) automatically. b. add code to the constructor to increment this variable every time an account is created. c. add a static method getnumaccounts that returns the total number of accounts. think about why this method should be static - its information is not related to any particular account. d. file testaccounts1.java contains a simple program that creates the specified number of bank accounts then uses the getnumaccounts method to find how many accounts were created. save it to your directory, then use it to test your modified account class.