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# Interpolating using matrices

Let's try out an example to demonstrate how we use matrices. This example uses matrices to interpolate a curve between a given set of points. Suppose we have a given set of points representing some data. The objective is to trace a smooth line between the points in order to produce a curve that estimates the shape of the data. Although the mathematical formulae in this example may seem difficult, we should know that this technique is actually just a form of regularization for a linear regression model, and is termed as Tichonov regularization. For now, we'll focus on how to use matrices in this technique, and we shall revisit regularization in depth in Chapter 2, Understanding Linear Regression.

We will first define ...

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