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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)
Question 586547: Can someone please help and show me all steps?
Thanks
Add the matrices shown.
[3 -1 -4] + [-3 -6 12]
[5 9 0] [24 5 3]
Note that I am only adding two matrices, it just looks like 4 seperate ones, but they are both 2 by 3 matrices
Click here to see answer by stanbon(75887) |
Question 589291: Using Cramer’s rule find x5 of the following system. No marks will be given if Cramer’s rule is not used. (solve the determinants by hand and show all work. You can use whichever method for finding
 1 2
1 2
0 0 1 0 3 0 14
1 1 x1 1 2 x2 1 3x3 11x4
0 2
=0 3
1
13012x5
Click here to see answer by Edwin McCravy(20054)  |
Question 604305: Hi! I think I got the correct answer to this word problem but am having trouble setting it up properly in a matrix (to get the right "output" answer). It is: when a crew rows with the current, it travels 16 miles in 2 hours. Against the current, the crew rows 8 miles in 2 hours. Let x=crew rowing rate in still water and y=rate of the current. I know rxt=d and x+y(t)=d and x-y(t)=d. I got x=6 and y=2. I have tried many different matrix "inputs" and just can't seem to get the right answer. I really wanted to figure it out on my own but am stuck. I know to line up the x's, y's, =k (constant). I need also to show the equation used.Thanks for any help!!!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 607392: An electronics company produces three models of stereo speakers, models A, B, and C, and can deliver them by truck, van or station wagon. A truck holds 2 boxes of model A, 1 of model B, and 3 of model C. A van holds 1 box of model A, 3 boxes of model B, and 2 boxes of model C. A station wagon holds 1 box of model A, 3 boxes of model B, and 1 box of model C. If 15 boxes of model A, 20 boxes of model B and 22 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at full capacity?
I need help with setting up the equations for this problem. This is a matrix problem.
Is it something like this?
This is how I first translated it..
2x + 1y + 3z = truck
1x + 3y + 2z = van
1x + 3y + 1z = station wagon
Then I thought to maybe combine Boxes A, B, and C together within an equation:
Boxes A) 2x + 1y + 1z = 15
Boxes B) 1x + 3y + 3z = 20
Boxes C) 3x + 2y + 1z = 22
I'm a little lost.
Click here to see answer by ewatrrr(24785)  |
Question 607392: An electronics company produces three models of stereo speakers, models A, B, and C, and can deliver them by truck, van or station wagon. A truck holds 2 boxes of model A, 1 of model B, and 3 of model C. A van holds 1 box of model A, 3 boxes of model B, and 2 boxes of model C. A station wagon holds 1 box of model A, 3 boxes of model B, and 1 box of model C. If 15 boxes of model A, 20 boxes of model B and 22 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at full capacity?
I need help with setting up the equations for this problem. This is a matrix problem.
Is it something like this?
This is how I first translated it..
2x + 1y + 3z = truck
1x + 3y + 2z = van
1x + 3y + 1z = station wagon
Then I thought to maybe combine Boxes A, B, and C together within an equation:
Boxes A) 2x + 1y + 1z = 15
Boxes B) 1x + 3y + 3z = 20
Boxes C) 3x + 2y + 1z = 22
I'm a little lost.
Click here to see answer by stanbon(75887) |
Question 607388: How much of a 40% antifreeze solution must a mechanic mix with an 80% antifreeze solution if 20 gallons of a 50% antifreeze solution are needed?
Here's what I tried:
Let x= amount of 40%, y= amount of 80%
0.40x + 0.80y = 0.5(20)
x + y = 20
Multiplied by 10 to get rid of decimals in first equation:
4x + 8y = 10
x + y = 20
Put into matrices and got:
(37.5, -17.5)
The answer is supposed to equal to 15 gal of 40%, 5 gal of 80% according to the lab worksheet I'm working on. I don't know what I am doing wrong.
Click here to see answer by ewatrrr(24785)  |
Question 607390: $10,000 is to be invested in three different ways. One part of the money is used to purchase mutual fund that offer a return of 8% per year. The second part, which amounts to twice the first, is used to buy government bonds at 9% per year. The remainder is put in the bank at 5% annual interest. In the first year, the investments bring a return of $830. How much was invested in each way?
This is a matrices problem but I am confused with how to begin with the equations.
Is one equation x + y + z = 10,000? The second equation.. Is is something like this? 0.08x + 2(0.09)y =
I will be able to solve the problem after understanding how to put the wording into equations.. I understand how to solve matrices, so I am not asking for help with that. Thank you.
Click here to see answer by ankor@dixie-net.com(22740)  |
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