mobaxus is right for 2x2
for 3x3 counterclockwise (ccw) rotating about the positive x-axis
use this matrix sequence.
1......0..........0
0....cosx...-sinex
0...sinex....cosx
3x3 ccw positive y-axis
cosx.....0.....sinx
0.........1..........0
-sinx....0......cosx
3x3 ccw psitive z-axis
cosx.....-sinx......0
sinx......cosx......0
0...........0..........1
All rotating through x angle
if it is clockwise change the signes.
2006-07-22 14:42:09
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answer #1
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answered by DPLP 3
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Your question can be interpreted different ways :)
If you refer to rotating the numbers in the matrix itself: the following formula creates a matrix A' that is equal to the original matrix A but rotated 90 degrees clockwise:
A'(i, j) = A(n - j + 1, i)
where n is the number of rows and columns.
2006-07-22 12:16:52
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answer #2
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answered by dutch_prof 4
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Have you got an old record player deck? If not, put your car on its side and use a wheel. However, remember to put the car back down on all four wheels after doing the matrix rotation as driving a car on its side is both illegal in most countries and extremely dangerous.
2006-07-22 14:49:43
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answer #3
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answered by Anonymous
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for a 2x2 matrix, use
cosx -sinx
sinx cosx
for a rotation of x degrees
2006-07-22 12:34:02
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answer #4
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answered by mobaxus 2
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By doing the transpose 2 times (inverting the lines and columns)
A =
a11, a12
a21, a22
-> (first transpose) =
a11, a21
a12, a22
->(second transpose) =
a11, a12
a21, a22
2006-07-22 12:32:11
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answer #5
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answered by Joseph Binette 3
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