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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def apply(self, x):
 """Apply Householder transformation to vector x. Applies the Householder transformation efficiently to the given vector. """

        # make sure that x is a (N,*) matrix
        if len(x.shape) != 2:
            raise ArgumentError('x is not a matrix of shape (N,*)')
        if self.beta == 0:
            return x
        return x - self.beta * self.v * numpy.dot(self.v.T.conj(), x)