How to calculate Rotation Matrix?

Assume that the global coordinate system is defined by [i j k] vectors as: [1 0 0 0 1 0 0 0 1] There is a local coordinate system. For simplicity, lets take it as a coordinate system rotated about Z axis by 90degree: [ 0 1 0 -1 0 0 0 0 1] I have a point...

The definition of covariance matrix could be found at Wikipedia, but little knowledge could be found on Google about inverse covariance matrix. Is there any physical meaning of it? In addition, how to calculate inverse covariance matrix?

(b) The formula to calculate the specific rotation of an optically active compound from the measured rotation of its solution is: where a is measured rotation, l is pathlength in decimeters and c is concentration in g/mL Calculate the specific rotation...

1.) Which of the following matrices cannot be an initial probability matrix? ~ [ 0.45 0.65 ] ~ [ 0.5 0.5 ] ~ [ 0.26 0.74 ] ~ [ 0.45 0.55 ] 2.) Which of the following matrices cannot be a transition matrix? http://tinypic.com/r/2r3unpy/6 Use the following...

A coordinate frame, B is rotated about the y axis of frame A by θ degrees then rotated about the x axis of frame A by Φ degrees. a) What is the final rotation matrix corresponding to this set of rotations? b) Do you obtain the same matrix if you switch...

I wish to calculate a given matrix n-th power. Suppose the matrix is 3x3 and cannot be diagonalized. I've read there is a method using Cayley-Hamilton theorem to expand the matrix as a linear combination of its lower powers. Even when I do that, I can...

My instructor uses a matrix to calculate chi square for Goodness of Fit problems. I entered all the data into the matrixes but now I can't calculate the chi square using x2-Test on the TI 84. . Here's the problem. After I inputted all the numbers in...

I know how to *use* the covariance matrix to get a confidence ellipse, and what its entries mean. I just don't know how you produce the matrix from the curve-fitting process in the first place.