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To find the original matrix of an inverted matrix, simply invert it again. Consider

A^-1^-1 = A^1 = A

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Q: How do you find original matrix from its inverse matrix?
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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 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


4. Derive the matrix for inverse transformation.?

I could do that if you gave me the original matrix.


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 to find the inverse of a square 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.


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.


How to find the Inverse of a square 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.


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 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


How do you find the inverse of a 10x2 matrix?

A non-square matrix cannot be inverted.


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.


How do you find inverse of a matrix in Casio fx-991MS scientific calculators?

The fx-991MS lacks the inverse operator so the matrix inverse is not possible, Try 991Es instead