Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!

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Question 240058: How do i calculate the maximum profit of -10x^2 + 1700x - 60000
Click here to see answer by stanbon(75887) About Me 

Question 240130: What does x,y,z equal.
-2x-5y+4z=21
-5x-5y=z=21
-4y-4z=8

Click here to see answer by Alan3354(69443) About Me 

Question 240269: I really need your help, Using Cramer's Rule, how would you solve this?
2x-y=4
3x+y-z=10
y+z=3

Click here to see answer by stanbon(75887) About Me 

Question 241047: The sum of 3 numbers is 26. The second number is three times the first while the third number is four more than the first. What are the three numbers?
I just need help setting it up. I can use Cramer's rule well enough, I'm just not sure what to put into it to solve it.

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Question 241026: (-3,2);{3x-y=-7
5x-y=-13

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Question 242679: How do you do row reduction? I have no problem using elimination to find the values of variables in a system and can do so relatively quickly. However, my daughter is struggling with math and is trying to learn to handle matrices. I never had these, but can do the adding, multiplying. Now she has to learn row reduction and the book she has really does not explain it well. If you are given what to do it is easy (like when they say "-3R1 +R 2 = R 2), but how do you do it when not given what to do? Is there a set formula or steps to take like add row one to row 3 and replace row 1. I need a simple explanation on how to do this. To me it takes a lot longer to figure the necessary steps by trial and error than to use elimination. I have to be missing something somewhere. The book she is using is "Discovering Advanced Algebra, An Investigative Approach. Frankly I do not what to spend my time investigating math; I just want to know how to do it so I can pass it on to my daughter.
What is the Cramer rule?

Click here to see answer by stanbon(75887) About Me 

Question 242976: by using row reduction solve the following simultaneous equation.
2x-y=5
3x+4y=13

Click here to see answer by checkley77(12844) About Me 

Question 243166: system%283x%2B2y-3z=-2%2C+7x-2y%2B5z=-14%2C+2x%2B4y%2Bz=6%29
Click here to see answer by Edwin McCravy(20054) About Me 

Question 243147: hello
given the following system of three equations
3x-2y+z=-12
-x+y-2z=10
4x+3y+2z= -1

find the values of x, y, and z by i)cramers rule ii)matrix inversion

Click here to see answer by Edwin McCravy(20054) About Me 

Question 243350: if 3x + 2y = 19 and 2x + 3y=91, what is the value of x + y?
Click here to see answer by checkley77(12844) About Me 

Question 243802: How would you find the determinant of the n x n matrix:
a b 0 0...0
0 a b 0...0
0 0 a b...0
...........
0 0 0 0...b
b 0 0 0...a
I understand that i need to use laplace expansion but this problem is confusing me just because you dont know the numbers in the matrix or exactly how many rows and columns you are working with

Click here to see answer by jim_thompson5910(35256) About Me 

Question 244582: Solve the matrix equation:

Please Help

Click here to see answer by Edwin McCravy(20054) About Me 

Question 246479: factor z^2+3z+2
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Question 246519: Solve the system using augmented matrix. Show your work.
5x + 4y - z= 1
2x - 2y + z= 1
-x - y + z= 2

I just don't know what to do!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 246827: I've got to use Cramer's rule on this one, and I just don't know how.
2x+z=-10
y-z=15
x-2y+z=-5
I know how to solve 3x3 problems, but I don't know what to do for the missing variables in this one. Help!!

Click here to see answer by richwmiller(17219) About Me 

Question 246804: please help me solve this equation using cramer's rule
5x%2B2y=8
2x-3y=7

Click here to see answer by stanbon(75887) About Me 

Question 246891: a13 of matrix A if
A = 2 -3 4
5 0 -6
7 2 -8
I am not sure of how to find it, i tried to do it but it does NOT make sense.

Click here to see answer by dabanfield(803) About Me 
Question 246891: a13 of matrix A if
A = 2 -3 4
5 0 -6
7 2 -8
I am not sure of how to find it, i tried to do it but it does NOT make sense.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 248726: how do u solve for the determinant again?
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Question 249039: solve this equation.
x+y=1
4x-3y=11

Click here to see answer by jim_thompson5910(35256) About Me 

Question 249045: solve this matrix equation.
x+y=1
4x-3y=11

Click here to see answer by jim_thompson5910(35256) About Me 

Question 249070: 2x - y = -5
x + 3y =22
I have trouble solving this problem with Matrix. I have seen many examples in homework but this one has me beat as simple as it looks.
Thanks, Enid

Click here to see answer by jim_thompson5910(35256) About Me 

Question 249401: I need help solving this problem using cramer's rule
-3x-4y=9
9x+10y=-3

Click here to see answer by checkley77(12844) About Me 

Question 250005: 19. Give the solution for a system with the augmented matrix shown below
[1 0: 2]
[0 1: -3]

18. Write the system of linear equations represented bt the matrix equation shown below
[1 -1 1] [x] [1]
[2 1 3 ] . [y]= [-3]
[4 2 -1] [z] [2]
PLEASE HELP TONIGHT!!!!!!!!!!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 250144: what are the steps to take in solving the following by matrix?
3x-2y+z=5
4x+y+2z=3
5x=3y+4z=2

Click here to see answer by richwmiller(17219) About Me 

Question 250328: A clerk can add 40 columns of figures an hour by using an adding machine and 20 columns of figures an hour without using an adding machine. The total of number of hours it would take him to add 200 columns if he does 3/5 of the work by machine and the rest without the machine is?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 250645: the sruface area of a cube is 536 square inches. How long is ech edge? (Round to two decimal places.)
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Question 250913: The book says to solve the system of linear equations.
8x-2y+z=32
6x+1/2y+1/4z=26
x+y-5y=-14
I have tried all the ways I know to solve it and am still getting lost. Will you help me with the different ways to solve this problem and the steps.
Thank you

Click here to see answer by MRperkins(300) About Me 

Question 250960:
x+y+z=30
x+2y+z=$7.46
2.49x+1.99y+.99z=$70.00

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Question 250951: solve the system of equtaions by gauss-elimination method
x+y+z=9
x-2y+3z=8
2x+y-z=3






Click here to see answer by Fombitz(32388) About Me 

Question 251413: how do i solve these two equations by using cramers rule?
20t+50f=1800 and 2f=t

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Question 251325:
Click here to see answer by kudu(1) About Me 

Question 251671: 20 14 8
10 5 10
5 ? 3

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Question 252267: Can cramer's rule be used for: if so what would I use for the middle equation for the coefficient of y and what would the constant be...???
x+y+z=2
2x=z
x-2y+2z=1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 251040: Use a Matrix to determine the number of solutions for the following system.
3x - y = -6
2x = 3y + 2

Click here to see answer by drk(1908) About Me 

Question 251662: ax+by=u
cx+d y=v when d is=[a b c d]=/0 what is the answer

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Question 252724: how do i use cramer's rule for three equations on this problem
5x-6y=7+7z
6x-4y+10z=-34
2x+4y=29+3z

Click here to see answer by drk(1908) About Me 
Question 252724: how do i use cramer's rule for three equations on this problem
5x-6y=7+7z
6x-4y+10z=-34
2x+4y=29+3z

Click here to see answer by jim_thompson5910(35256) About Me 

Question 252928: how do you find the inverse of a 3x3 matrix?
Click here to see answer by drk(1908) About Me 

Question 253055: Combine methods of row reduction and cofactor expansion to calculate determinants.
-1 2 3 0
3 4 3 0
5 4 6 6
4 2 4 3

Click here to see answer by Edwin McCravy(20054) About Me 

Question 253074: 3x+4y=-14
-2x-3y=11

Click here to see answer by hokies(65) About Me 

Question 253174: 1)Find an LU factorization of the matrix A below.
A=
1 4 -1 5
3 7 -2 9
-2 -3 1 -4
-1 6 -1 7

Click here to see answer by richwmiller(17219) About Me 

Question 253661: x - 3y +z=-6
2x -y -2z= -6
3x +2y-z=0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 253660: use cramer's rule to solve the linear system. show the set up.
x -2y=1
2x +y=7

Click here to see answer by jim_thompson5910(35256) About Me 
Question 253660: use cramer's rule to solve the linear system. show the set up.
x -2y=1
2x +y=7

Click here to see answer by Edwin McCravy(20054) About Me