Recent content by elphin

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    Matrices and eigen value problems

    sorry for the late reply... thanks for all the help ...:smile:
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    Optimizing Eigenvalues of Matrices: A Creative Approach

    no idea... never heard of it before at all! :smile:
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    Matrices and eigen value problems

    very interesting thanks .. a lot .. could you tell me of any good book which covers matrices thoroughly ? thanks again . .
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    Optimizing Eigenvalues of Matrices: A Creative Approach

    Homework Statement Homework Equations The Attempt at a Solution the usual method i.e. det(A - bI) = 0 i get the equation finally as b[3][/SUP] - 75b[2][/SUP] + 1850b -15576 = 0 from this i get b[1][/SUB][2][/SUP] + b[2][/SUB][2][/SUP] + b[3][/SUB][2][/SUP] = 1925 < 1949 is there an...
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    Matrices and eigen value problems

    well what i have tried so far has been the wrong approach as you have pointed out.. thanks for that ... so to be honest ... right now i have nothing to show .. as i didn't understand how really B(I−AB)^−1.A+I is the inverse to the matrix i am looking for?
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    Matrices and eigen value problems

    also could you help me out with this problem too..
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    Matrices and eigen value problems

    ya .. well i didnt understand .. i wish you could break it down for me.. and how you got the idea to solve it... is there any particular book that's good for "matrices" and "linear algebra" . . . ?
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    Matrices and eigen value problems

    thanks a lot.. any idea then how to solve the first part of the problem.. i am stuck...
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    Matrices and eigen value problems

    i am just a little confused here.. see..
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    Matrices and eigen value problems

    Homework Statement Let A and B be nxn matrices over reals. Show that I - BA is invertible if I - AB is invertible. Deduce that AB and BA have the same eigen values Homework Equations det(AB) = det(A).det(B) The Attempt at a Solution given: (I-AB) is invertible -> det(I-AB) is...
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    Differential equation first, first degree help

    eh... anyone? wold really help.. this has been bugging me...
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    Projectile Motion Help: Proving Equations for Velocity and Time

    projectile motion help needed! Homework Statement If v1, v2, v3 are the velocities at three points A, B , C of the path of a projectile, where the inclinations to the horizon are α, α-β, α-2β and if t1, t2 are the times of describing the arcs AB and BC respectively, prove that v3*t1 =...
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    Model for single lane of traffic

    p dv/dx + v dp/dx + dp/dt = 0 Where: v = kx/p Show that dp/dt = -k p dv/dx + v dp/dx + dp/dt = 0 can be written as d(pv)/dx + dp/dt = 0 ----------- 1 v = kx/p => pv = kx -> put in 1 we get dp/dt = - k method you used is wrong because you can't partially...
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    Differential equation first, first degree help

    Differential equation first, first degree help! Homework Statement solve: x.dy + y.dx + (x.dy - y.dx)/(x^2 + y^2) = 0 Homework Equations if M.dx + N.dy = 0 has to be exact then equation 1: partial derivative of M w.r.t y (keeping x constant) = partial derivative of N w.r.t x...
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    Help needed with 3d geometry problem: important

    ooops .. sorry .. you are right .. let me sum up this situation in an equation... sleepless night + math => (2/3)^2 = (4/3) thanks dude...