A transformation in the plane is represented by a 2 x 2 matrix.?
Under this transformation, the point (7,1) is transformed to (3,8) and the point (-3,8) is transformed to (-5,8).
(i) What is the matrix representing this transformation?
(ii) Find coordinates of the image of the point (7,8) under this transformation
2007-02-05 01:43:34 · 2 answers · asked by ozi 1 in Science & Mathematics ➔ Mathematics
Simplest way: let the array be A =
a b
c d
Then (7, 1)*A = (3, 8), so by multiplying
7a + c = 3
7b + d = 8
Also (-3, 8)*A = (-5, 8), so
-3a + 8c = -5
-3b + 8d = 8
Now you have 2 equations with a and c, and 2 equations with b and d, so you can solve each pair of equations to get the values of a, b, c, and d, and make the matrix. Then to find the image of (7, 8) just multiply (7, 8)*A
2007-02-05 01:56:22 · answer #1 · answered by sofarsogood 5 · 0⤊ 0⤋
someone too lazy to do their own homework?
2007-02-05 01:47:51 · answer #2 · answered by Anonymous · 0⤊ 0⤋