PRECALC QUESTION

Solve for "x" and "y" given the following matrix equation:
(2x, 0.5y, -2, 1) * (3, -2, 0, 1) = (-24, 19, -6, 5)

(the matrices are going from left to right, they're all 2x2's.)

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asked by Aly
  1. Multiply the matrices on the left-hand side and equate cell by cell with the right to get:
    the equations
    6x=-24
    y/2-4x=19
    Solve for x and y.
    The two bottom cells turn out to be -6=-6 and 5=5.

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  2. 6 x +0 y = -24 so x = -4

    -4 x + .5 y = 19 so y = 6

    -6 + 0 = -6 true

    (-2)(-2) + (1)(1) = 5 true

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    posted by Damon

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