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An Inverse Matrix is a matrix that when multiplied by the original matrix yields the identity matrix. The inverse of a square n x n matrix A, is another n x n matrix denoted by A^{1} such that
A A^{1} = A^{1} A = I
where I is the n x n identity matrix. That is, multiplying a matrix by its inverse produces an identity matrix. Not all square matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse, and the matrix is said to be singular. Only nonsingular matrices have inverses
1. Find determinant of 3X3 Matrix
2. Find minor
3. Find Cofactor
4. Find Adjoint
5. Replace results in below formula
The inverse of a general nxn matrix A can be found by using the following equation
Matrices are widely used in geometry, physics and computer graphics applications. The array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules. Matrix calculations can be understood as a set of tools that involves the study of methods and procedures used for collecting, classifying, and analyzing data. In many applications it is necessary to calculate the inverse matrix where this online inverse matrix calculator can help you to effortlessly make your calculations easy for the respective inputs
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