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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.
What is the inverse of the original statement?
if A then B (original) if not A then not B (inverse)
Does inverse of 5x5 matrix exists?
of course it does
What is an orthogonal matrix?
A matrix A is orthogonal if itstranspose is equal to it inverse. So AT is the transpose of A and A-1 is the inverse. We have AT=A-1 So we have : AAT= I, the identity matrix Since it is MUCH easier to find a transpose than an inverse, these matrices are easy to compute with. Furthermore, rotation matrices are orthogonal. The inverse of an orthogonal matrix is also orthogonal which can be easily proved directly from the definition.
If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
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 is leontief inverse matrix?
(I-A)-1 is the Leontief inverse matrix of matrix A (nxn; non-singular).
Does every square matrix have an inverse?
No. A square matrix has an inverse if and only if its determinant is nonzero.
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.
Inverse of 2x1 matrix?
it doesnt have an inverse since only square matrices have an inverse
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 original matrix from its inverse matrix?
To find the original matrix of an inverted matrix, simply invert it again. Consider A^-1^-1 = A^1 = A
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.
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.
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.
What is the inverse of the original statement?
if A then B (original) if not A then not B (inverse)
