Tutors Answer Your Questions about Linear Algebra (FREE)
Question 131059: Can you help set up and solve the following problem?
1. A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased by 75%. Find the number of boys and girls involved inthe projuect initially.
Click here to see answer by stanbon(75887)  |
Question 133224: I have been busting my head over a matrices problem where I need to find a pattern between the original square matrix (4, 2, 2, 4) and its exponential values.
The matrix squared is (20, 16, 16, 20) or 2(10, 8, 8, 10).
The matrix cubed is (112, 104, 104, 112) or 2(56, 52, 52, 56).
The matrix to the power of 4 is (656, 640, 640, 656) or 2(328, 320, 320, 328).
The matrix to the power of 5 is (3904, 3872, 3872, 3904) or 2(1952, 1936, 1936, 1952).
The matrix to the power of 7 is (140032, 139904, 139904, 140032) or 2(70016, 69952, 69952, 70016).
So far, what I have figured out is that the difference between the different elements in the matrices is always 2^n. As well, taking the original matrix, one can see that when k=3, the data inside the matrix is k+1 in two positions and k-1 in the other two. I can also factor out a 4 from each matrix, but that didn't seem to lead anywhere.
Can anyone help me with this emergency?
*Note: this question did not come from any textbook.
Click here to see answer by vleith(2983) |
Question 137759: Can you show that, given two equations y = m1x + c1 and y = m2x + c2 where c1 and c2 are different, there is no solution if i>m1 = m2. Interpret this result graphically. Also show that if c1 = c2 then there will be at least one solution no matter what m1 and m2 are. Interpret this result on a graph.
Click here to see answer by solver91311(24713)  |
Question 137915: I am having problems with this question.
Suppose that a market research company finds that a price of p=$20, they sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answe in the p=mx+b. I think I am getting this wrong. I think the equation looks like $20 = m(42)+b if this is wrong please send me the proper equation. Thank you if you can help.
This is not in a book.
Click here to see answer by stanbon(75887) |
Question 138200: using matrix calculations the question is as follows
A total of $ 50,000 is invested in three funds paying 6%,8%, and 10% simple interest. The yearly interest is $3700.00. Twice as much moneyu is invested at 6% as invesated at 10%. How much is invested in each of the funds.
My professor wants us to accomplish the following items.
a. set up the 3 linear equations in 3 variables
b. put the coeficients into a matrix
c. solve the matrix any method you like
d. provide the solution for x,y, and z.
Click here to see answer by stanbon(75887) |
Question 139395: a chemist needs 10 liters of a 25 % acid solution. the solution is to be mixed from three solutions whose acid concentrations are 10% 20% 50% how many liters of each solution should the chemist use to satisfy the following
a use as little as possible the 50% solution
b use as much as possible of the 50% solution
c use 2 liters of the 50% solution this is a three part question
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 139527: Hi i hope i dont confuse you with this. The thing is ive tried to figure out what it's asking me.. but i dont know what to do. The intergral from 0 to 1 sign i couldnt find. So i hope you get it. Thanks alot.
For V = C[0,1] with inner product = intergral from 0 to 1 f(x)g(x)dx if f(0) = 0 = f(1) show that f'(x) and f(x) are orthogonal.
Click here to see answer by oscargut(2103)  |
Question 139986: Translate each distance into an absolute value equation or inequality.
a.the distance between x and 0 is 15 units
b. the distance between w and 15 is 10 units
c. the distance between y and -9 is greater than or equal to 2 units
d. the distance between 3x and -7 is less than 4 units
i am confused on how to write these! please help!
Click here to see answer by stanbon(75887) |
Question 139991: the lifetime L of a hard disk in a computer, for 95% of those produced by a manufacturer, satisfies the absoulte value inequality
(The L and -27,350 are in absolute value form.)
L - 27,350 is less than or equal to 5880
where L is measured in hours of use. determine the range of hours for the lifetime of a hard disk produced by this manufacturer.
Click here to see answer by stanbon(75887) |
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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, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760
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