We first give a consequence of Theorem 2.5.8
and then use it to find the inverse of an invertible matrix.
be an invertible
matrix. Suppose that a
sequence of elementary row-operations reduces
to the identity
matrix. Then the same sequence of elementary
row-operations when applied to the identity matrix yields
be a square matrix of order
be a sequence of elementary row operations
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matrix. Apply the
Gauss-Jordan method to the matrix
Suppose the row reduced echelon form of the matrix
is not invertible.
Find the inverse of the following matrices using the Gauss-Jordan method.
A K Lal