Use the numerical representation for the month and date of today's date as elements in matrix A, where the month is the elements in the first row and the date is the elements in the second row. For example, if today's date is March 12, then matric A would be represented as: A =[0 3
1 2]

Represent the month of January (1) and the date (7) (excluding the year) the same way in a 2 by 2 matrix for matrix B. Use the two matrices to compute the following, if possible. If the computation is not possible, explain why. Show all of your work.

1. A+B

2. B-A

3. A B

4.B^-1

Suppose that a customer is purchasing a car. he conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. he conducts this experiment 15 times on each car and records the number of miles driven. full data set car 1 238238 216216 205205 212212 240240 274274 297297 252252 260260 247247 257257 243243 296296 243243 290290 car 2 245245 204204 215215 209209 251251 165165 221221 295295 172172 287287 268268 305305 320320 260260 297297 describe each data set, that is determine the shape, center, and spread. sample mean for car 1 x overbar equalsx=216216 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.) sample mean for car 2 x overbar equalsx=209209 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.)