When do matrices have inverses Find the inverse of the matrix. For what value(s) of , if any, does the matrix have no inverse?
The inverse of the matrix and the value(s) of such that the inverse of does not exist.
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 .
Thus the inverse of the matrix is as follows.
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