2 2 4 108 102 0 2 1.5 2 . Let A= 2 1 4 2 2 5 01 010 -1 -2 4 3 8 3 2 13 0 0 0 0 0 Where the second matrix is the reduced form of the matrix. (a) Find the basis for the column space of A (b) Find the basis for the row space of A (c) Find the basis for the null space of A (d) Find the rank of A

The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​ (almost) inversely proportional to gas​ mileage; higher gas mileage means lower fuel cost and​ vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is​ purchased, it is easy to calculate gas​ mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr.​ Hebert's 2015 Jeep Wrangler Unlimited.     12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11   a. Find the average fuel economy. x =enter your response here ​(Round your answer to 3 decimal​ places.)

The following data was collected to explore how the number of square feet in a house, the number of bedrooms, and the age of the house affect the selling price of the house. The dependent variable is the selling price of the house, the first independent variable (x1�1) is the square footage, the second independent variable (x2�2) is the number of bedrooms, and the third independent variable (x3�3) is the age of the house. Effects on Selling Price of Houses Square Feet Number of Bedrooms Age Selling Price 11191119 33 33 100900100900 13081308 33 44 119800119800 14521452 33 66 189800189800 16931693 33 66 190500190500 20052005 33 66 196900196900 22102210 33 99 216600216600 23012301 44 99 250900250900 23452345 44 1010 267800267800 28532853 55 1313 270000270000 Copy Data Step 1 of 2 :   Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places

The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​ (almost) inversely proportional to gas​ mileage; higher gas mileage means lower fuel cost and​ vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is​ purchased, it is easy to calculate gas​ mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr.​ Hebert's 2015 Jeep Wrangler Unlimited.     12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 c. Find the five number summary. enter your response here​, enter your response here​, enter your response here​, enter your response here​, enter your response here