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4. Derive the matrix for inverse transformation.?
I could do that if you gave me the original matrix.
What does rotation mean in termsof inverse of orthogonal matrix?
The inverse of a rotation matrix represents a rotation in the opposite direction, by the same angle, about the same axis. Since M-1M = I, M-1(Mv) = v. Thus, any matrix inverse will "undo" the transformation of the original matrix.
Write the transformation matrix for 2D rotation?
For counterclockwise rotation, the matrix has the following elements. I will write (11) for the first row, first column etc. since there is no way to easily repesent a matrix here. We rotate by an angle theta. (11) is cos theta (12) negative sin theta (21) is sin theta and (22) is cos theta
What is an eigenvalue?
If a linear transformation acts on a vector and the result is only a change in the vector's magnitude, not direction, that vector is called an eigenvector of that particular linear transformation, and the magnitude that the vector is changed by is called an eigenvalue of that eigenvector.Formulaically, this statement is expressed as Av=kv, where A is the linear transformation, vis the eigenvector, and k is the eigenvalue. Keep in mind that A is usually a matrix and k is a scalar multiple that must exist in the field of which is over the vector space in question.
Is there any matrix called as zero matrix?
ya yes its there a matrix called zero matrix
