Determine the rank of matrix A, if possible, from the given information. (a) A is an n-by-n matrix with linearly independent columns. (b) A is a 6-by-4 matrix and Null(A) = {O}. (c) A is a 5-by-6 matrix and dim(Null(A)) = 3. (d) A is a 3-by-3 matrix and det (A) = 17. (e) A is a 5-by-5 and dim(Row(A)) = 3. (f) A is an invertible 4-by-4 matrix. (g) A is a 4-by-3 matrix and Ax = b has either a unique solution or else no solution. (h) A is a 8-by-8 matrix and dim(Row(AT)) = 6. (i) A is a 7-by-5 matrix in which dim(Null(Ar)) = 3.

In may you used 400 kilowatt-hours of energy for electricity. a. calculate the total electrical energy use in joules. b. calculate your average power use in watts. c. assume that your power supplier generates electricity by burning oil. note that 1 liter of oil releases 12 million joules of energy. how much oil is needed to generate the electricity you use? give your answer in both liters and gallons. a. the total electrical energy use was nothing _ joules. (type an integer or a decimal.) b. the average power use is nothing _ watts. (round to the nearest whole number as needed.) c. to generate the electricity you used, nothing _ l is needed. (round to the nearest whole number as needed.) to generate the electricity you used, nothing _ gal is needed. (round to two decimal places as needed.)