Question: Show that, after triangularizing (mathbf{A x}=mathbf{y}), the back substitution method of solving (mathbf{A}^{(N-1)} mathbf{x}=mathbf{y}^{(N-1)}) requires (N) divisions, (N(N-1) / 2) multiplications, and (N(N-1) / 2)

Show that, after triangularizing \(\mathbf{A x}=\mathbf{y}\), the back substitution method of solving \(\mathbf{A}^{(N-1)} \mathbf{x}=\mathbf{y}^{(N-1)}\) requires \(N\) divisions, \(N(N-1) / 2\) multiplications, and \(N(N-1) / 2\) subtractions. Assume that all the elements of \(\mathbf{A}^{(N-1)}\) and \(\mathbf{y}^{(N-1)}\) are nonzero and real. 6.2}

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