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

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 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

 Question 31074: can you show me an example of linear algebra. my question is: 2x+3y=6 2x-y=-2 Click here to see answer by ikdeep(226)

 Question 31143: It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour. Write a linear function that expresses the distance traveled, d, as a function of time, t. Click here to see answer by mukhopadhyay(490)

 Question 30944: I cannot fill out the book infromation because this is an independent study course for college algebra at Brigham Young Univeristy. This is a paper coruse, no book was provided! Question: Solve this exponential equation for x: 5^4x+6=25 A. -3/4 B. -1 C. 1 D. 3/4 Thanks for your help Click here to see answer by mukhopadhyay(490)

 Question 30949: I am taking an online course- no book available. The question reads: Solve 1/125 = 25^8x-5 Possible answers: a. 1/4 b. 13/16 c. 1/8 d. 7/16 Click here to see answer by mukhopadhyay(490)

 Question 31359: it is approximately 300 miles from chicago, illinois, to st. louis, missouri. allowing for various traffic conditions, a driver can average approximately 60 miles per hour. i have to write a linear function that expresses the distance to be traveled to reach st. louis, s, as a function of time, t. I have to show my work. thanks for the help Click here to see answer by stanbon(57282)

 Question 31476: Let S={v1, v2, v3}where v1^T=[1 0] v2^T=[0 1] v3^T=[-1 1] Find every subset of S that is a basis for R^2. I have the matrix [1 0 -1 0] [0 1 1 0] where x1-x3=0 and x2+x3=o and one basis of {v1, v2} but I don't know where to go from there. Click here to see answer by venugopalramana(3286)

 Question 31478: I have no idea what this question is asking: Let B={v1, v2, v3} be a set of linearly independent vectors in R^3. Provev that B is a basis for R^3. Click here to see answer by venugopalramana(3286)

 Question 31651: Question reads: Give f(x) =x^4 and g(x) = -2 -x^2, find (f o g) (x). Answers to choose: (A) none of these (B) (-2-x^2)^4 (C) -2-x^2/x^4 (D) (-2-x^8)^4 Thanxs a lot. Click here to see answer by mukhopadhyay(490)

 Question 31611: This is an online course- I have no book. Solve x^4-7x^2+6=0 Possible Annswers: (A) +1, +6 (B) none of these (C) 1, 6 (D) +1, +sqrt6 Thank you! Click here to see answer by checkley71(8403)

 Question 31746: Question reads: Write the partial fraction decomposition of the rational expression: -x/(x+6) (x+5) Possible Answers: (A) 5/x+6 + -6/x+5 (B) 6/11/x+6 + -5/11/x+5 (C) -6/x+6 + 5/ X+5 (D) -6/11?x+6 + 5/11/x+5 These are a lot of numbers. Please be specific when choosing an option.Thanks! Click here to see answer by mukhopadhyay(490)

 Question 31750: Question: Solve the system: x^2+y^2=64 x+y=8 (A) {[0,0), (8,-8)} (B) {(0,8), (8,0)} (C) {(8,-8), (-8,-8)} (D) {(0,-8), (-8,0)} Thank you very much! Click here to see answer by venugopalramana(3286)

 Question 31749: Find the third term in the expansion of (w+2x)^8. (A) none of these (B) 112w^6x^2 (C) 299w^5x^3 (D) 56w^4x^4 Thank you Click here to see answer by venugopalramana(3286)

 Question 31753: Solve the system: x^2+y^2=63 x^2-3y^2=27 a. (3 sqrt6,3) (3 sqrt6, -3) b. (3 sqrt 6,3) (3 sqrt6,-3) (-3 sqrt6,3) (-3sqrt6,-3) c. (1 sqrt62) (1,-62) (-1 sqrt62) (-1 -sqrt62) d. (-3 sqrt6,3) (-3 sqrt6,-3) Thanks a bunch!!!!!!!! Click here to see answer by mukhopadhyay(490)

 Question 31752: The question is: Find all the real and complex zeros of the polynomial x^4+8x^3+16x^2-8x-17 (A) 4, -4, 1 -2i, 1+2i (B) 1 -1, -4 -i, -4+i (C) none of these (D) 1, -1, -4 -2i, -4+2i This is conufusing- thanks for your help! Click here to see answer by stanbon(57282)

 Question 31686: I was given a homework sheet in class and have no idea what chapter it is from. Let A be an nxn matrix and suppose that v1 and v2 are nonzero vectors in R^n that satisfy and . Prove that the set {v1, v2} is linearly independent. Thank you for your help. Click here to see answer by venugopalramana(3286)

 Question 31816: Find the equation of the inverse of f(x) = 2x+9/3 Possible Solutions are: (A) f^1(x) = 3/2x+9 (B) f^1 (x) = 3x+9/2 (C) f^1 (x) = 2x-3 (D) f^1 (x) = 3x-9/2 Thank you! Click here to see answer by mukhopadhyay(490)

 Question 30084: hello, I have two questions 1) if 7^x=3 then x= 2) if t=e^x+2 then x= i was wondering how these work out? (^) means to the power thanks Click here to see answer by mukhopadhyay(490)

 Question 30238: Which equation below is the quadratic equation in standard form that results when you substitute u=x^-2 into the equation x^-4 -32+ 4x^-2 ? POssible Answers: (a) 1/u^2 - 4/u - 32=0 (b) u^2-4u-32=0 (c) u^4-4u^2-32=0 (d) u^-2 -4u +32=0 (e) 1/ u^2 + 4/u -32 = 0 Please be specific in which is the correct answer. Thanks! Click here to see answer by mukhopadhyay(490)

 Question 32261: Given V=R^2 with "non-standard" operations: for u=(x1,y1) and v=(x2,y2)in R^2, and c(real number), u(+)v=[(x1^1/3 + x^2^1/3)^3, (y1^1/3 + y2^1/3)^3] and c(*)v=(c^3*x2, c^3*y2), where (*)and(+)anr non-standard operations, I want to prove that V form a vector space, using 10 vector space axioms. But, I can't figure out how to handle the exponents (raised to the third power) in the operations...Also, I am confused about the "non-standard"...Can I still use some real number for x and y (like x=1, y=1)and 'c' when varifying the closure of the axioms? How exactly are "standard" and "non-standard" different when using the ten vector space axioms? For 'distributive property', could I use another vector w=(x3,y3)? Would you help me with this problem??? Click here to see answer by venugopalramana(3286)

 Question 32371: This problem has to do with permutations:Let n = 9 sigma = (2 3 7 5 6) and mu = (1 8 9 4) 1. Compute sigma of mu and mu of sigma 2. Compute sigma-squared and sigma-cubed. Click here to see answer by stanbon(57282)

 Question 32528: I am trying to learn proofs. Question 32261 (on the site) is one I cannot solve, but I would like to learn. Can you share the solution? I cannot find the link to the solution. Thanks! Question 32261: Given V=R^2 with "non-standard" operations: for u=(x1,y1) and v=(x2,y2)in R^2, and c(real number), u(+)v=[(x1^1/3 + x^2^1/3)^3, (y1^1/3 + y2^1/3)^3] and c(*)v=(c^3*x2, c^3*y2), where (*)and(+)anr non-standard operations, I want to prove that V form a vector space, using 10 vector space axioms. But, I can't figure out how to handle the exponents (raised to the third power) in the operations...Also, I am confused about the "non-standard"...Can I still use some real number for x and y (like x=1, y=1)and 'c' when varifying the closure of the axioms? How exactly are "standard" and "non-standard" different when using the ten vector space axioms? For 'distributive property', could I use another vector w=(x3,y3)? Would you help me with this problem??? Click here to see answer by venugopalramana(3286)

 Question 32681: Perry has a total of 25 five and ten dollar bills in his pocket. The value of these bills is \$175. How many ten dollar bills are in Perry's pocket? Click here to see answer by mukhopadhyay(490)

 Question 30774: The Question Reads: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x) =2x^3+x^2+3x+8 The Answers to choose are: (A) +2, +4, +8, +1/2, +7/2 (B) +2, +4, +8, +16, +7/2 (C) 0, +1, +2, +4, +1/2 (D) +1, +2, +4, +8, +1/2 Can you please help me! Thank you! Click here to see answer by venugopalramana(3286)

 Question 32994: . Solve for x: 4x + 3 – 13x – 7 < 2(3 – 4x) Please break down and explain. Thanks so much! Click here to see answer by stanbon(57282)

 Question 33004: Could you help me again? For some reason the chart doesnt show here, but Im hoping you can make it out & help me solve and explain the steps along the way, so hat I may understand it better. Thank you very much. :) Fill in the chart given this linear equation: 3x + y = 10 x y -2 -1 0 1 2 Dee Click here to see answer by xcentaur(357)

 Question 33006: This is a descussion question that I totally dont get. Am I suppose to graph this? How am I suppose to set up the graph so it shows on the Discussion board? Can someone help me solve this and explain how it was achueved? Name the coordinate described here: From the origin, the point is five places to the right and nine places down. Thank you very much! :) Dee Click here to see answer by xcentaur(357)

 Question 33034: Can you help solve this and explain how? Find the midpoint between these points: (2, 3) and (8, 1) Thank you. Penalope Click here to see answer by xcentaur(357)

 Question 33030: The linear equation y = 5 graphs as a __________________ line. Can you explain how I solve this please? Thanks Penalope Click here to see answer by xcentaur(357)

 Question 33013: Find the midpoint between these points: (2, 3) and (8, 1) Can you explain how I am to achieve this? Also... Can you tell me if I did this correctly? Solve for x: 2(x + 1) > 12 My answer: Simplify left side and right side to get: 2x + 1= 12-3 2 + 1 + x = 12 x = 9 Thank you,Thank you Thank you Dee Click here to see answer by stanbon(57282)

 Question 32995: Hi I have a question about Vector space My question is the reverse question of the question in the book (Problem 17) Find the condition that make the solution set of consistent system Ax=b (m linear equations, n unknowns) form a subspace of Rn) Click here to see answer by khwang(438)

 Question 33372: graph these y=-1 y=4 - 3x x=3y x - y=-3 4x + 6y=8 Click here to see answer by mszlmb(115)

 Question 31915: What are the conditions when the solution of a system of linear equalities will be in the 1st quadrant? Click here to see answer by Nate(3500)

 Question 33660: 1)An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a)Find the function V that represents the volume of the box in terms of x. Answer b)Graph this function. Show Graph here c)Using the graph, what is the value of x that will produce the maximum volume? Answer 2)The volume of a cylinder (think about the volume of a can) is given by V = pr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters. a)Write h as a function of r. Answer b)What is the measurement of the height if the radius of the cylinder is 2 centimeters? Answer Show work in this space c)Graph this function. Show graph here Click here to see answer by venugopalramana(3286)

 Question 33689: THe instructions say divide. The problem itself is (4x-4 / x) / (10x-10 / 7x^2). I have come up with 28x^2(x-1) / 10x(x-1). Can anyone please tell me if this is the correct answer. Thanks in advance. Click here to see answer by Earlsdon(6287)

 Question 33699: 5)Logarithms: a)Using a calculator, find log 10000 where log means log to the base of 10. Answer: b)Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here: log b a = loga/logb Using this formula, find log 10000. Answer: Show work in this space Click here to see answer by Nate(3500)

 Question 34258: Problem: Is it possible for the columns of a 4x3 matrix to be linearly dependent? if so, give an example and demonstrate the dependence. If not, prove it. I understand what linearly dependent means, but I don't know what kind of a matrix we should use to prove it without coming up with a clear example with numbers. Please help. Click here to see answer by venugopalramana(3286)

 Question 34257: Problem: Construct an orthogonal basis for R^4 that has no zeros in it and demonstrate that your basis is orthogonal. I don't understand what it is asking and I have no idea how to get the problem going and solved. Click here to see answer by venugopalramana(3286)

 Question 31747: Let P (n) represent the statment 2+6+10+...+(4n-2)=2n^2 In the proof that P (n) is true for all integers n, n>1, what term must be added to both sides of P (k) to show P (k+1) follows form p(k)? (A) 4k+2 (B) P(k+1) (C) 4k+6 (D) 4k-2 Thank you for your assistance! Click here to see answer by venugopalramana(3286)