The matrix [-0.8 -0.6

0.6 -0.8] (a 2x2 matrix)

represents a rotation. Find the angle of rotation (in radians).

This one has me stumped, any help would be appreciated. The answer is 2.5 radians but the approach is where I am lost.

Printable View

- Feb 4th 2009, 06:41 PMsmellatronAngle of rotation in a matrix
The matrix [-0.8 -0.6

0.6 -0.8] (a 2x2 matrix)

represents a rotation. Find the angle of rotation (in radians).

This one has me stumped, any help would be appreciated. The answer is 2.5 radians but the approach is where I am lost. - Feb 4th 2009, 08:40 PMbadgerigar
You are probably expected to know that a rotation can be represented by the matrix

This does not, however, give 2.5 radians so I suspect you have either copied this out wrong or the source is incorrect. - Feb 5th 2009, 06:15 AMsmellatron
I understand that is the rotation matrix, what I don't understand is how you come up with the final angle of rotation. Do you plug in the numbers into the corresponding thetas? Thanks again for the help. I would be more specific but I have to head to work. Any help would be appreciated.

- Feb 5th 2009, 08:09 AMOpalg
- Feb 6th 2009, 02:23 AMbadgerigar
Opalg is right, sorry to have confused you