Ax = b: a = ( −2 −1 2 −2 2 3 −4 1 3 ) b = ( −1 −1 4 ) x = ( x1 x2 x3 ) (a) (6 pts) use the elimination method to find the matrices l and u such that a = lu. (b) (3 pts) solve the intermediate system ly = b for the intermediate variable y. (c) (3 pts) solve the system ux = y and confirm your solution from problem 2 above

In a box lenght 1m breadth 60 cm and height 40 cm small rectangular packets of dimension 5 cm into 8 cm into 10 cm are packed. how many such small packets can be packed in the big box?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Find the value of x for which line a is parallel to line b