There exists a matrix such that
True, there exist a matrix A such that role="math" localid="1659642050851"
Suppose the matrix A is.
Now according to the given equation,
Put the value of A matrix in the above equation we get.
After solving the equation we get
Now on equating the value of matrix we get
On solving the equations we get the value of variables
Where, are free variables which can have any value. For instance let the value of
Thus, we get the matrix
Hence, it is truethat there exist a matrix A such that
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