Read about linear equations | 7 Discussions | Page 1

  1. caters

    What is the ratio after 1 month given certain conditions?

    So this question is a math question having to do with me calculating the rate of population growth starting from a population of 100,000. I have already gotten the first 3 steps done (sex ratio, ratio of cycle time, and pregnancy ratio) after a week among those in the fertile timeframe...
  2. caters

    Solve for unknown radius without trig

    Homework Statement What is the next radius outwards of this Apollonian gasket? R = radius of outer circle = 5 r1 = radius of largest inner circle = 3 r2 = radius of second largest inner circle = 1 a = unknown radius Homework Equations C = 2πr A = πr2 d = 2r The Attempt at a Solution Make a...
  3. T

    I Preconditioning for linear equations

    I understand that for many iterative methods, convergence rates can be shown to depend on the condition number of the coefficient matrix A in the linear equation $$Ax=y.$$ Therefore, if a preconditioner satisfies $$P \approx A,$$ then by solving the transformed linear equation $$(AP^{-1})...
  4. D

    How much of a 10 liter 30% acid solution must be replaced

    Hello! 1. Homework Statement Please, take a look at the problem and at my solution. Have I done it correctly and is my logic correct? How much of a 10 liter 30% acid solution must be replaced with pure acid to obtain 10 liters of a 50% solution? Homework Equations 3. The Attempt at a...
  5. D

    How much of a 5 gallon 40% salt solution should be replaced

    Hello! 1. Homework Statement Here is the problem I can't solve, and will be grateful for your help on this - please, guid me to the understanding of how to solve such problems. The difficulty lies in replacing some of the solution with water. It would be much easier to solve if we add water...
  6. H

    Looking for an example of a Successive over-relaxation

    Hi I am working on a programming assignment that requires me to implement the successive over-relaxation algorithm. We are given the wikipedia page for this: http://en.wikipedia.org/wiki/Successive_over-relaxation. I have read through the wikipedia page for this numerous times but am still...
  7. AdityaDev

    System of homogeneous equations

    I got three equations: l-cm-bn=0 -cl+m-an=0 -bl-am+n=0 In my textbook, its written "eliminating l, m, n we get:" $$ \begin{vmatrix} 1& -c& -b\\ -c& 1& -a\\ -b& -a& 1\\ \end{vmatrix}=0 $$ but if I take l, m, n as variables and since ##l=\frac{\Delta_1}{\Delta}## (Cramer's rule) and...
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