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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)
Question 22280: A machine can produce either nuts or bolts, but not both at the same time. The machine can be used at most 8 hours a day. Furthermore, at most 6 hours a day can be used for making nuts and at most 5 hours a day for making bolts. There is a $2 profit for each hour the machine makes nuts and a $3 profit for each hour the machine makes bots. How many hours per day should the machine make each item in order to maximize profit? What is the maximum profit? Please hurry!
Click here to see answer by Paul(988)  |
Question 22278: Here's the question...A carpentry shop makes dinner tables and coffee tables. Each week the shop must complete at least 9 dinner tables and 13 coffee tables to be shipped to furniture stores. The shop can produce at most 30 dinner tables and coffee tables combined each week. If the shop sells dinner tables for $120 and coffee tables for $150, how many of each item should be produced for a maximum weekly income? What is the maximum weekly income?? HELP FAST PLEASE!! I am so desperate right now...
Click here to see answer by stanbon(57224) |
Question 22693: This isn't really a question, I just need help on explaining Cramer's Rule. For my essay I have to describe in paragraph form the steps necessary to solve the system of equations using Cramer's Rule. The problem shown is:
2x+y-3z=-3
3x+2y+4z=5
-4x-y+2z=4
Click here to see answer by stanbon(57224) |
Question 22974: I have been doing very well with matrices, but this one is really giving me a headache. There were two questions on this homework assignment; these instructions apply to both:
Evaluate each of the following determinants by expansion by minors.
The first problem was a 3x3 matrix. I had no problem with that one.
Here's the one that's giving me trouble:
-2 3 0 2
3 1 -3 7
-4 5 1 2
6 0 3 -5
Any help you could give would be much appreciated. Thank you in advance.
Click here to see answer by stanbon!(97) |
Question 23111: The section we are working on has to do with augmented matrices, and here's the question:
"In triangle ABC, the measure of angle A is twice the measure of angle B. The measure of angle C exceeds four times the measure of angle B by 12 degrees. Find the measure of each angle."
I've tried this problem several times and just can't find a reasonable answer. Please help.
Click here to see answer by rapaljer(4667)  |
Question 23151: Let "T" be a linear Operator on a finite dimensional space "V"
and let "c" be a Scalar.
Then det(T-cI)will be equal to what?
Please note that ,I request to let me know the value of
Determinant(T-cI).(i mean wheather it is 0,1,2,3 or some other number).
Click here to see answer by khwang(438) |
Question 22281: A theater contains 500 seats. For an upcoming talent show, the theater manager plans to sell $4 and $5 tickets. He must sell at least 200 $4 tickets and 100 $5 tickets for the show to be produced, and he must bring in at least $2000 to break even. How many tickets at each price should be sold to maximize income? What is the maximum income? Please help me ASAP. Due 1pm Sunday!!!
Click here to see answer by stanbon(57224) |
Question 23322: I am having a hard time with Matrices and Determinants. Here's the problem I'm having a lot of trouble with: Solve the following system of equations
x-2y=5 & -3x+2y=7..... I got x= -6 and y=-11/2, but my test said it was wrong, can anyone explain whats going on here???
Click here to see answer by stanbon(57224) |
Question 24870: Hello!
Could you, please, give a hint of how to solve this system of linear equations? I'm at a loss to calculate any determinants here, which is required for most ways of solving, I guess, so I suppose there must be some "face-saver" here. :)
The last column is of the coefficients at variables to zero power - I didn't manage to put a line with this formula plotting system. Also the low lines are meant as ellipses.
Thank you!
Click here to see answer by venugopalramana(3286) |
Question 24870: Hello!
Could you, please, give a hint of how to solve this system of linear equations? I'm at a loss to calculate any determinants here, which is required for most ways of solving, I guess, so I suppose there must be some "face-saver" here. :)
The last column is of the coefficients at variables to zero power - I didn't manage to put a line with this formula plotting system. Also the low lines are meant as ellipses.
Thank you!
Click here to see answer by fanks(6) |
Question 27040: Hello my name is Charles and I have a question how do you fine the area of a triangle with vertices of (x1,y1),(x2,y2) and (x3,y3) I already know that the area = 1/2basexheight but it doesn't have equal sides Thank you for answering this question if you do
Click here to see answer by longjonsilver(2297)  |
Question 27040: Hello my name is Charles and I have a question how do you fine the area of a triangle with vertices of (x1,y1),(x2,y2) and (x3,y3) I already know that the area = 1/2basexheight but it doesn't have equal sides Thank you for answering this question if you do
Click here to see answer by venugopalramana(3286) |
Question 27267: a theater contains 500 seats. For an upcoming talent show, the theater manager plans to sell $4 and $5 tickets. He must sell at least 200 $4 tickets and 100 $5 tickets for the show to be produced. He must bring in at least $2000 to break even. How many tickets at each price should be sold to maximize income.
I am asking this because the other time this is asked, there is no answer on it, just a statement that says It's already been answered.
Click here to see answer by bmauger(101) |
Question 28309: Give examples of the following matrices:
2x2 identity matrix I2x2(the 2x2 is smaller then the I when written)
5x5 zero matrix 0 5x5
Two non zero matrices A and B such that AB=02x2
A 2x2 matrix C such that C does not = I2x2 but C 2(squared)=I2x2
Click here to see answer by longjonsilver(2297) |
Question 28312: Ok - I am having problems with solving the follwoing equation -- can you please help me out. Please note that the M amounts within the brackets are in sets of four -- 2 on top of 2 - for example M= a 0(being on the top line while 0 b are right below it -- lining up the a and the 0 and then the 0 and the b.
Let M= [a 0]
[0 b] with a, b real numbers.
a) Solve that M(squared) =MM= [a(squared) 0]
[0 b(squared)].
b) What is det(M)?
c) Under what condition(s) does M(inverse) exist?
d) What is M(inverse)?
e) Suppose M= [2 0]
[0 1]. What M(tenth power)? (hint: find M(squared), M(cube).... is there apattern?
Click here to see answer by venugopalramana(3286) |
Question 29407: You are an accountant for a construction business and are planning next year's budget. You have $200,000 to spend on salaries, equipment expenses, and other general expenses. Based on previous financial records of the business, you expect to spend five times as much on salaries as on equipment maintence, and you expect general expenses to be 10% of the amount spent on the other two combined. Write and solve a system of equations to find the amount you should budget for each category.
okay thats the problem and this is what i ahve so far:
x- is the salary y- is the equipment expenses z- is the other expenses
i have these 2 equations that i think are right:
x+y+z= $200,000
.10z=x+y
and thats it. can you help me ASAP thanks
Click here to see answer by stanbon(57224) |
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