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Test

Gaussian Elimination

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Preguntas del test (7)

  1. 12x + y - z = 4
    -2x + y + 2z - 6
    x + 2y + z = 11
    What is the first step to take in this equation?
    1. AAdd the first and second equation.
    2. BAdd the first and third equation.
    3. CAdd the second and third equation.
  2. 2After Step 1, you'll want to do what with your result of adding the first two equations?
    1. AReplace the third equation with the result.
    2. BReplace the second equation with the result.
    3. CReplace the first equation with the result.
  3. 3For the third step, you'll use the first equation to eliminate what from the third equation?
    1. Ax
    2. By
    3. Cz
  4. 4After step 3, you replace the third equation with your result of using the first equation to eliminate 'x' from the third equation. Afterwards, you use the second equation to eliminate ___ from the ___ equation.
    1. Ax; second
    2. Bz; first
    3. Cy; third
  5. 5You're equations should now be:

    2x + y - z = 4
    2y + z = 10
    -3z = -6

    Next you'll solve the third equation for z.
    1. Az = -3
    2. Bz = -6
    3. Cz = 2
  6. 6For the last step, you'll solve the first equation for 'x'.
    What does 'x' equal?
    1. Ax = 3
    2. Bx = 1
    3. Cx = 2
  7. 7Your final results should be:
    1. A(4, 2, 1)
    2. B(2, 4, 1)
    3. C(1, 4, 2)

Información

Descripción
This is a quiz to help memorize the process of Gaussian elimination.
Idioma
English
Visitas
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