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Is it true that the transpose of the transpose of a matrix is the original matrix?
yes, it is true that the transpose of the transpose of a matrix is the original matrix
4. Derive the matrix for inverse transformation.?
I could do that if you gave me the original matrix.
How do find matrix inverse of 4cross 4matrix?
Next to your 4x4 matrix, place the 4x4 identity matrix on the right and adjoined to the one you want to invert. Now you can use row operations and change your original matrix on the left to a 4x4 identity matrix. Each time you do a row operation, make sure you do the same thing to the rows of the original identity matrix. You end up with the identity now on the left and the inverse on the right. You can also calculate the inverse using the adjoint. The adjoint matrix is computed by taking the transpose of a matrix where each element is cofactor of the corresponding element in the original matrix. You find the cofactor t of the matrix created by taking the original matrix and removing the row and column for the element you are calculating the cofactor of. The signs of the cofactors alternate, just as when computing the determinant
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.
What is matrix in maths?
It is a table of items, usually numbers. For example, you might consider the prices of several items in a shop. Put these in a column. Then for the same items in a different shop, another column alongside the first. And several shops. You finish up with an array of prices. That is an example of a matrix.
