Recent content by Darkbalmunk

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    Exploring a Conic Section: 2X² - Y² - 4xy - 4X - 8Y + 14 = 0

    2X² - Y² - 4xy - 4X - 8Y + 14 = 0 aX² + bY² + 2cXY = 0 |a c| |c b| The problem I am having is i can make the equation into 2X² - Y² - 4xy - 4X - 8Y = -14 but in class nor in the book explains how i can find a symetric matrix when i have -4X and -8Y because to get the conics the teacher...
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    Exploring a Conic Section: 2X² - Y² - 4xy - 4X - 8Y + 14 = 0

    the problem is when i try to get the eigenvalues of det(A-lamdaI) = 4X + 8Y - 14 So what do i do with the 4X + 8Y - 14
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    Exploring a Conic Section: 2X² - Y² - 4xy - 4X - 8Y + 14 = 0

    Homework Statement describe the conic section. a) 2X² - Y² - 4xy - 4X - 8Y + 14 = 0 convert to standard form of a conic section and identify its graph. b) X² + Y² - 2XY + 16X + 16Y = 0 Homework Equations a) 2X² - Y² - 4xy = 4X + 8Y - 14 b) X² + Y² - 2XY = -16X - 16Y aX²...
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    Rational Root Theorem for Factoring Polynomials

    Hi I was wondering since i have problems factoring any polynomial past 2nd degree i was wondering if anyone can show a way i can remember for finals ^_^. IE. let's say we have a 3rd degree polynomial. X^3 - 3X^2 +4 i tried looking it up but most don't show how they did the work so i can...
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    Linear algebra Eigenvalue related

    Homework Statement a) |-1 1 1| | 1 -1 1| = A | 1 1 -1| Find an orthoginal matrix P that diagonalizes Ab) |0 1| What value of a is multiplicity 2, what value of a is eigen values -1 and 2 A = |a 1| what value of a does A have real eigenvaluesC) If A is a...
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