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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)
Question 31366: ) A brewery manufactures three types of beer - lite, regular, and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar and 1 bag of hops. Each vat of regular beer requires 4 bags of barley, 3 bag of sugar and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bag of sugar and 4 bag of hops. Each day the brewery has 800 bags of barley, 600 bag of sugar and 300 bag of hops. The brewery realizes a profit of $10 per vat of lite beer, $20 per vat of regular beer, and $30 per vat of dark beer. For this linear programming problem:
(a) What are the decision variables?
(b) What is the objective function?
(c) What are the constraints?
Click here to see answer by AnlytcPhil(1806)   |
Question 31574: How do you to treat two equations in part (d)???
Two planes are defined by the equations given below.
x + 3y + z = 1 (1)
2x + 7y − z = 1 (2)
(a) Write down a normal to each of the planes.
(b) How can you tell immediately that the planes are not parallel?
(c) Write a quick test that shows they are not perpendicular.
(d) Write the augmented matrix for the system of two equations, and find the solutions
by row-reducing by hand. State clearly the row operations you use.
(e) Hence find the line of intersection of the planes defined by the two equations. Give a
direction vector for the line, and a point on the line.
Why is it that text books only talk about three equations and to bad if you only have two??? What are the rules? Hours of time spent with no answers, It's madeness.
Click here to see answer by venugopalramana(3286) |
Question 31736: I have to put this in augmented matrix form, then I can solve. I need help finding variables.
The average age of the Smith's cars is eight years. Three years ago the Toyota was twice as old as the Ford. Two years ago the sum of the Buick's and the Ford's ages was equal to the age of the Toyota. How old is each car now?
x - toyota
y - ford
z - buick
x + y + z/3 = 8 (..or x+y+z = 24 ?)
in 2003 x = 2y (...or x - 3 = 2y -3
in 2004 y + z = z (...or (y+z)-2 = z
- am I on the right track ????
thanks in advance
Jane
Click here to see answer by mbarugel(146) |
Question 33382: I need help with usings Cramer's Rule. The question is: Solve the following system of equations using Cramer's Rule.
2x + 4y - 3z = 2
2x - 2y + 3z = 3
3x - 4y + 5z = 4
I understand that I have to first have to set up the determinants. Which are
D = 2 4 -3 Answer Column is 2
2 -2 3 3
3 -4 5 4
D of x = 2 4 -3
3 -2 3
4 -4 5
D of y = 2 2 -3
2 3 3
3 4 5
D of Z = 2 4 2
2 -2 3
3 -4 4
Now my problem is how do I evaluate the determinants? I think that I understand how to set it up. I'm just not sure what to do after that. Any help you can give me would be greatly appreciated. I'm not necessarily looking for the entire question, just an explanation of what to do next. I've looked over the web for hours and none of the Algebra websites explains how to do this step. Thanks for the help and have a great night.
Jonna
Click here to see answer by mukhopadhyay(490) |
Question 33382: I need help with usings Cramer's Rule. The question is: Solve the following system of equations using Cramer's Rule.
2x + 4y - 3z = 2
2x - 2y + 3z = 3
3x - 4y + 5z = 4
I understand that I have to first have to set up the determinants. Which are
D = 2 4 -3 Answer Column is 2
2 -2 3 3
3 -4 5 4
D of x = 2 4 -3
3 -2 3
4 -4 5
D of y = 2 2 -3
2 3 3
3 4 5
D of Z = 2 4 2
2 -2 3
3 -4 4
Now my problem is how do I evaluate the determinants? I think that I understand how to set it up. I'm just not sure what to do after that. Any help you can give me would be greatly appreciated. I'm not necessarily looking for the entire question, just an explanation of what to do next. I've looked over the web for hours and none of the Algebra websites explains how to do this step. Thanks for the help and have a great night.
Jonna
Click here to see answer by venugopalramana(3286) |
Question 33389: I am completely stumped with this one! Please help!
A company makes three products, A, B, and C. There are 500 pounds of raw material available. Each unit of product A requires 2 pounds of raw material, each unit of product B requires 2 pounds of raw material, and each unit of product C requires 3 pounds. The assembly line has 1,000 hours of operation available. Each unit of product A requires 4 hours, while each unit of products B and C requires 5 hours. The company realizes a profit of $500 for each unit of product A, $600 for each unit of product B, and $1,000 for each unit of product C. Formulate (but don't solve) a linear program to determine how many units of each of the three products the company should make to maximize profits.
Click here to see answer by mukhopadhyay(490) |
Question 30956: this uestion comes from a math 132 class the question is find the point of intersection the lines 2x+3y+6=0 and -2x+5y+10=0. If they do not intersect . state why they do not. I got 16/15 and 4/5 but i dont know doesnt look right. Thank you.
Click here to see answer by venugopalramana(3286) |
Question 33610: use the matrix approach to solve the system
x+y-z= -3
2x+y+z= 4
5x-y+2z=23
I know this starts out with:
1 1 -1 | -3
2 1 1 | 4
5 -1 2 | 23
but I don't know what to do to each row to get the proper answers in the x, y, & z columns and the rows to be: 1 0 0
0 1 0
0 0 1
Click here to see answer by venugopalramana(3286) |
Question 33612: A box contains $17.70 in nickels, dimes, and quarters. The number of dimes is 8 less than twice the number of nickels. The number of quarters is 2 more than the sum of the number of nickels and dimes. How many coins of each kind are there in the box?
Click here to see answer by Paul(988) |
Question 33642: Please help me solve this problem (2x2 matrix)
If A=[1 -2, 1 0] and AB=[1 0, -1 2]Find B.
I tried multiplying A*AB changing the signs of AB but the answer did not come out right.
Answer should be B=[-1 0, -1 1]
Click here to see answer by Nate(3500) |
Question 33915: i need help with matrices and systems of equations.
[2 -1 1]
[1 2 6]
[3 -1 2]
____________
[2 -1 -2]
[1 2 3]
[3 -1 -1]
represents the values of which variable in the solution of the equations below?
2x- y + z = -2
x +2y + 6z = 3
3x -y + 2z=-1
a) x
b) y
c) z
d) none of the variables
Click here to see answer by stanbon(75887) |
Question 33914: i need help with matrices and systems of equations.
[1 -7 -1]
[2 -3 2]
[1 3 -2]
____________
[1 2 -1]
[2 3 2]
[1 -2 -2]
represents the values of which variable in the solution of the equations below?
x+ 2y - z = -7
2x +3y + 2z = -3
x-2y-2z=3
a) x
b) y
c) z
d) none of the variables
Click here to see answer by stanbon(75887) |
Question 34160: I have a problem getting the answers to these:
Render the augmented matrix:
1 0 -1|2
0 2 1 |-1
1 0 1 |0
into row-echelon form and determine the value of the variables x,y and z.
Also:
2.)
Find the values of this matrix:
1 0 -1|0
0 1 0 |1
0 0 1 |2
Click here to see answer by venugopalramana(3286) |
Question 34228: Render the augmented matrix:
1 0 -1|2
0 2 1 |-1
1 0 1 |0
into row-echelon form and determine the value of the variables x,y and z.
Also:
2.)
Find the values of this matrix:
1 0 -1|0
0 1 0 |1
0 0 1 |2
Click here to see answer by kietra(57) |
Question 31811: Can you help me with this question. Here is what it reads:
Use matrices to solve the following system:
What is the value of y?
-4x-3z=7
x-2y-z=1
-5x+2y-z=1
Here are my possible choices:
(a) -5
(b) -2
(c) 8
(d) 3
Thank you for your help
Click here to see answer by venugopalramana(3286) |
Question 34777: I am having a really hard time understanding the Gauss-Jordan Method. I have reviewed everything I could possibly find on this subject and it seems like there is no formal way to do this. I need a method to the madness? Please help if you can...
Use the Gauss-Jordan Mathod to solve these systems of linear equations.
Problem #1:
x+y+z=5
y+z=1
2z=4
Problem #2:
x+y=1
2x+3y=0
Your explanations of how to understand this method is greatly appreciated.
Thanks!
Click here to see answer by checkley71(8403) |
Question 35190: The augmented matrices for three separate systems of linear equations in the variables
x, y, z, and w, respectively, have been reduced to the row echelon forms given below.
Find the solutions to each of the systems.
A =
1 0 1 −1 : 3
0 1 3 1 : −1
0 0 1 1 : 2
0 0 0 0 : 1
,
B =
1 0 0 1 : 3
0 1 0 −2 : 1
0 0 1 3 : −3
0 0 0 0 : 0
,
C =
1 1 2 −2 : 0
0 1 −3 1 : 4
0 0 0 1 : 3
So with respect to A and row four where 0=1 does that mean that this system can not be solved or can it? What is the rule here?
Click here to see answer by stanbon(75887) |
Question 35197: Use Gaussian Elimination to reduce the augmented matrix for the following system of linear
equations to upper triangular form, and use back-substitution to solve the system.
x + y − z = 3; (1)
−x + 2y + z = 0; (2)
2x − y − z = 1. (3)
The book gives the answer but not how to get the answer. Please i need to understand what they mean.
Click here to see answer by stanbon(75887) |
Question 35199: Show that AB = BA is not true in general for matrix multiplication, by offering a coun-terexample with matrices A and B of the same size. Give your own matrices.
So is the following in example
I used
A=|2,4|and
B=|2|
.....|4|
|2,4|*|2|
.........|4|
is not = to
|2|*|2,4|
|4|
have I got it right?
Click here to see answer by stanbon(75887) |
Question 33970: (1)A=[-3 2] B= [0 2] (find AB and BA if possible)
[2 -2] [-2 4]
(2)A=[-2 3] B=[ 3 ] (find AB if possible)
[1 -2] [-2 ]
[0 0]
(3)A=[2 -2 4] B=[2 1 -3 0]
[1 0 -1] [0 -2 1 -2] (find AB if possible)
[2 1 3] [1 -1 0 2]
I am having trouble with these problems i hope you can help me
thank you
Brittny
Click here to see answer by venugopalramana(3286) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645
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