Question: The backward difference approximation for a derivative is given by fla) = 2= Construct the Toeplitz matrix and compute the derivative of f(x) = sin

The backward difference approximation for a derivative is given by fla) = 2= Construct the Toeplitz matrix and compute the derivative of f(x) = sin x using: (a) Matrix multiplication, (b) the discrete convolution theorem, () and the discrete correlation theorem. Demonstrate machine accuracy for all three computations

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