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: = [ x y ]. we can also define a 2x2 matrix, = [ c ]. computing the product of m with v gives us a new point v’: = ′. we can then use v’ as the new point, multiply by matrix m again, and get another point, i. e. ′ = ′′. this can go on indefinitely, creating a long sequence of points

You will be given two character arrays of the same size, one will contain a number of ships. ships will move around the character array based on which way they are facing and the route they are on. routes are given in the other array. the route consists of '-' and '|' for straight paths, '\' and '/' for curves, and '+' for intersections. there are ships on these routes. ships always face a direction, '^' for up, '> ' for right, 'v' for down, and '< ' for left. any time the ships hit a '\' or a '/' it will turn as you would expect a ship to turn (e.g. a '^' that moves into a '/' will turn right). at an intersection, ships will always continue straight through. all ships move at the same speed, ships take turns moving and all ships move during one 'tick'. the one in the most top left goes first, followed by those to its right, then the ones in the next row. it iterates along the rows and then down the columns. each ship moves one space on its turn moving along the route. your function needs to return the position of the first collision between two ships and the number of ticks before the crash occurred.

Which best describes the role or restriction enzymes in the analysis of edna a. to break dna into fragments that vary in size so they can be sorted and analyzed b. to amplify small amounts of dna and generate large amounts of dna for analysis c. to purify samples of dna obtained from the environment so they can be analyzed d. to sort different sizes of dna fragments into a banding pattern that can be analyzed

Freya realizes she does not have enough in her bank account to use the debit card. she decides to use a credit card instead. which questions should freya answer before using a credit card? check all that apply. can i pay at least the minimum payment each month? can i make payments on time and avoid late fees? will i have to take out a loan? how much in finance charges can i afford to pay? should i talk to a consumer credit counseling service?