# Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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 Question 375332: Solve a problem algebraically. How many gas stations are in Los Angeles? Click here to see answer by Alan3354(34673)

 Question 375639: okay, so i have this problem and it is 1/x - 3/y = 2 6/x + 5/y = -34 1/x = u and 1/y = v please help. Click here to see answer by user_dude2008(1861)

 Question 375625: linda had p cups of peanuts and r cups of raisins when she mixed them the peanuts and raisins made 12 cips of party mix that had twice as many peanuts as rainsins how many cups of peanuts and how many cups of rainsins did she have how do i write this as an equation of a system of linear algebrA Click here to see answer by scott8148(6628)

 Question 375891: you have 3 vectors x1 =[1, 1, 1, 1] x2=[6, 0, 0, 2] x3=[-1, -1, 2, 4] Use the gram-Schmidt algorithm to convert the set S={x1, x2, x3} into an orthogonal set. Click here to see answer by Jk22(389)

 Question 375894: Let U be a subspace of R^4 and let the set S={x1,x2,x3} be an orthogonal basis of U, where x1=[1,0,-1,-1] x2=[2,1,1,1] x3=[-1,3,-1,0] a) find a basis of U^(orthogonal symbol) b) Given x=[3,1,0,42] find vectors x1 and x2 such that x= x1+x2, where x1 is in U and x2 is in U^(orthogonal symbol) Click here to see answer by Jk22(389)

 Question 376422: pleases i want to know how i can solve or find the eigenvalues and vectors of a 4x4 matrix Click here to see answer by Fombitz(13828)

 Question 378113: hello How do i find the basis of a space spanned by a set of vectors v1 = (1,-2,0,0,3),v2=(2,-5,-3,-2,6),v3=(0,5,15,10,0),v4=(2,6,18,8,6). i tried it out assuming that if the space is spanned by these vectors then any arbitrary vector in R^5 can be found by a linear combination of these vector right? but i got no solution to an arbitrary vector of (3, 2, 4, 5, 6). if that is the case is it safe to say that no basis exists for a space spanned by v1, v2, v3, v4? thanks for your help Click here to see answer by Jk22(389)

 Question 378675: A zookeeper has two solutions. Solution A has 20% medicine. Solution B has 20% medicine. How many ounces of each solution to obtain 10 ounces of 8% medicine. Click here to see answer by Alan3354(34673)

 Question 378672: If there is one linear equation of 3x-4y=12, write another equation so that (8,3) is a possible solution. Click here to see answer by Fombitz(13828)

 Question 378801: let T:R^3 --> R^3 T(x,y,z) = (z, x + y, x + y + z). determine i) rank T and basis of Im T ii) nullity T what i tried: If t is the matrix that will give you a 1 x 3 image then isn't is safe to conclude that the rank of T is 3? also if im T is the new vector, then the basis of im T is a linear combination of the standard basis vectors of R^3 right? but how do i prove all this mathematically? Click here to see answer by robertb(4012)

 Question 381013: Let S be the set of all integers that can be written as n2 + 1, where n is a nonzero integer. Which of the following integers is in S? 1 5 17 28 36 Click here to see answer by Jk22(389)

 Question 382336: Suppose that y varies directly as the square root x, and that y=12 when x=16. Find x when y=24. How do I find this? Click here to see answer by solver91311(18785)

 Question 383825: i need help solving linear and nonlinear equations Click here to see answer by edjones(7794)
 Question 383825: i need help solving linear and nonlinear equations Click here to see answer by solver91311(18785)

 Question 384249: NJ sales tax is 7% or 0.07 The total amount of an item WITH tax is 90.95 What is the initial amount of the item WITHOUT tax? Click here to see answer by nerdybill(7090)

 Question 384155: A restaurant manager has 2 liters of white wine that is 12% alcohol. How many liters of white grape juice should he add to get a drink that is 10% alcohol? Click here to see answer by ankor@dixie-net.com(16523)

 Question 384964: 6. Which expression can be substituted for y in the bottom equation of the system below to solve the system by substitution? y – 3x = 4 3y + 2x = 1 1. 3x + 4 2. 2/3x + 1 3. 1 – 2x 4. x = 4 – 3x Click here to see answer by rfer(13569)

 Question 385257: Factor. yu + 10y + uw + 10w Click here to see answer by Fombitz(13828)

 Question 385727: if matrix B results from a matrix A by applying elementary row operation, is there always an elementary row operation that cna be applied to B to recover A? Click here to see answer by robertb(4012)

 Question 385879: Twenty more than twice a number is 52 Click here to see answer by mananth(13126)
 Question 385879: Twenty more than twice a number is 52 Click here to see answer by gwendolyn(128)

 Question 386284: The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is 7 cm shorter than the longer leg. Find the length of the longer leg of the triangle. Click here to see answer by mananth(13126)

 Question 386884: I need help to learn how to set up equations so that I can solve it; Because I am having problems with lining it up wrong and getting the wrong answer. But this is the problem: 5g+h=2 -g-h=2 {p.s.)-Can you not give me the answer, can you just help we set it up, and like maybe you make up a problem that is the same set up and show me the steps how to do the problem! Click here to see answer by rfer(13569)

 Question 386880: This is the equation; I was suppose to eliminate. This is an excample of one of my problems: {p+4q=23 {-p+q=2 Now my teacher told me to add a one front of the q; so now it would be... [p+4q=23 [-p+1q=2 Then we put a "+" sign on the left side and add; so it would be; 5q over 5 = 25 over 5 p+4q=23 q=5 p+4(5)=23 p+20=23 -20-20 p=3 (3,5) and it must be in alphaebetical order p,q *This is the problem I need help with: {y-2x=0 {6y+2x=0 Click here to see answer by user_dude2008(1861)

 Question 387836: The distance between the points (1, y1) and (6, 10) is 13. What is a possible value of y1? Click here to see answer by rfer(13569)

 Question 388024: Transit of Mercury Across the Face of the Sun 2003–2098 (Duration in Hours) Stem Leaf 3| 0 7 4| 0 4 5| 0 2 3 4 4 5 6| 2 7 7 7 7| 5 5 5|3 = 5.3 hours What is the median duration of the transits of Mercury across the sun? A) 5.3 hours B) 5.5 hours C) 5.4 hours D) 54 hours Click here to see answer by Earlsdon(6294)

 Question 388093: How to compute the area of a triangular in square meters? given: h=10m, b=1.56m Click here to see answer by rfer(13569)

 Question 388983: let f(x)=x^2+3x and g(x)=2x. If f(n)=28, what is the value of g(n) Click here to see answer by robertb(4012)

 Question 388988: if 2x a. y b. -2x c. -y d.-(2x+y) e. 2x+y Click here to see answer by richard1234(5390)

 Question 388989: (a+b)^6 = c^2(a+b)^2(b+a)^2 In equation above a,b,and c are positive integers. Which of the following must be equal to b a. c-a b.a-c c. c^2-a^2 d. (a-c)^2 e. (c-a)^2 Click here to see answer by mananth(13126)

 Question 389087: A company makes two products, televisions and DVD players. The televisions require two hours of labor and \$100 of materials per television. The profit per television is \$300. The DVD player requires three hours of labor and \$50 of materials per DVD player. The profit per player is \$150. The company can afford to spend \$1000 each week for the cost of the material. If an employee works forty hours a week, how many televisions and/or DVD players should the employee make in order to maximize the company's profit? Click here to see answer by CharlesG2(828)

 Question 389358: My question was already answered by Charles I think and he did an awesome job but he didn't tell me what the variables were so now i can't figure it out! Here's the question. If you can somewhat explain it, that'd be great. A company makes two products, televisions and DVD players. The televisions require two hours of labor and \$100 of materials per television. The profit per television is \$300. The DVD player requires three hours of labor and \$50 of materials per DVD player. The profit per player is \$150. The company can afford to spend \$1000 each week for the cost of the material. If an employee works forty hours a week, how many televisions and/or DVD players should the employee make in order to maximize the company's profit? Thanks in advance! Click here to see answer by CharlesG2(828)