■ Finding the inverse of a matrix Find the inverse of a matrix if it exists
The inverse of the given matrix .
If we take a matrix with left half as matrix and right half as and transform the left half into identity matrix by performing elementary row operations on the entire matrix, the right half becomes inverse of the matrix .
If is a square matrix of dimension and there exist another square matrix of dimension such that , then we say is the inverse of .
The given matrix is
Now we take a matrix of dimension with left half as matrix and right half as and perform row operations to transform the left half into .
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