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(Solved): Suppose A is a real symmetric matrix. Explain the process for orthogonally diagonalizing A. Suppo ...



Suppose \( A \) is a real symmetric matrix. Explain the process for orthogonally diagonalizing \( A \).Suppose you have the data \( \left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right), \ldots,\left(x_{n}, y_{n}\right) \)
a. Desc

Suppose is a real symmetric matrix. Explain the process for orthogonally diagonalizing . Suppose you have the data a. Describe the process of finding the line of best least squares fit for the data. b. Describe the process of finding the quadratic of best least squares fit for the data.


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Solution:

1. An orthogonal diagonalization of A is certain if A is a real symmetric matrix. This indicates that it may be written as the product of a diagonal matrix and an orthogonal matrix.

There are various stages involved in orthogonally diagonalizing A. These are listed below:



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