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Question 1043183: (1) Write the following sets of linear equation in augumented matrix form and solve for x1, x2, and x3 using Gauss Jordan Elimination method:
(a) 2X1 + X2 - X3 = 8
-3X1 - X2 + 2X3= -11
-2X1 + X2 + 2X3= -3
(b) 3X1 - X2 + 5X3 =-2
2X1 + 4X2 - X3 =3
-4X1 + X2 + 7X3 =10
(2) Using elementary row operations investigate the consistency of the following systems.
(a) 2X1 + 4X2 - 2X3 = 0
3X1 + 5X2 =1
(b) X1 - X2 + 2X3 =4
X1 + X3 = 6
2X1 - 3X2 + 5X3 =4
3X1 + 2X2 - X3 =1
(3) consider the system
X1 + 2X2 + 3X3 = a
2X1 + 5X2 + (a+5)X3 = -2+2a
- X2 + (a^2 - a)X3 = a^2 - a
find the values of a for which the system has
(a) No solution (b) exactly one solution (c) Infinitely many solutions.
thank you.
Click here to see answer by solver91311(24713)  |
Question 1044322: The average monthly income of a person for first eight months of a year exceeds that for first seven months of the year by 25. If he earna 1275 in eight month of the year find his average monthly income for the first eight months of the year
Click here to see answer by Boreal(15235)  |
Question 1044595: Tom and Bill are standing at two places on a straight road. Tom starts
walking toward Bill and arrives at Bill's original place 11 minutes after
Bill had left. At perhaps a different time, Bill starts walking toward Tom
and arrives at Tom's original place 15 minutes after Tom had left. When
each reaches the other's original place, he immediately turns and starts
back, and they meet in the center at 4:00. Assuming that they walked at
constant rates, when did each start to travel on the road?
Click here to see answer by KMST(5328)  |
Question 1046348: Yes I know the answer but cannot come up with the two equations for it.
Two cars leave Salt Lake City, traveling in opposite directions. One car travels at a speed of 80 km/h and the other 96 km/h. In how many hours will they be 528 km apart?
Click here to see answer by ikleyn(52786)  |
Question 1046826: Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. 6% percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 3%?
Click here to see answer by Theo(13342)  |
Question 1047038: A company mannufactures solar powered calculators and battery powered calculators. In one day a maximum of 110 solar powered and 80 battery powered calculators can be made. Each solar powered calculator requires 1 work hour to produce and each battery powered calculator requires 2 work hours. There are a maximum of 200 work hours available each day.
Click here to see answer by Alan3354(69443)  |
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