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Q: Derive the matrix for inverse transformation in graphics?
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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.


What is leontief inverse matrix?

(I-A)-1 is the Leontief inverse matrix of matrix A (nxn; non-singular).


Is Inverse of the inverse matrix the original matrix?

Let A by an nxn non-singular matrix, then A-1 is the inverse of A. Now (A-1 )-1 =A So the answer is yes.


How are the inverse matrix and identity matrix related?

If an identity matrix is the answer to a problem under matrix multiplication, then each of the two matrices is an inverse matrix of the other.


Define inverse of matrix?

From Wolfram MathWorld: The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix A-1 such that AA-1=I where I is the identity matrix.


Does every square matrix have an inverse?

No. A square matrix has an inverse if and only if its determinant is nonzero.


What are the applications of det of a matrix?

it is used to find the inverse of the matrix. inverse(A)= (adj A)/ mod det A


How do you find a variable in a matrix if there is no inverse?

The fact that the matrix does not have an inverse does not necessarily mean that none of the variables can be found.


How do you call a matrix that if you multiplied it by the original matrix you would get the identity matrix?

That is called an inverse matrix


Which matrix has no multiplicative inverse?

A rectangular (non-square) matrix.


How to find the inverse of a symmetric matrix?

You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.