For the matrix write as discussed in Exercise 30. See Example 1.
Consider the matrix below:
Now, as shown below, calculate the eigen values:
As a result, the eigenvalues are 9 and 4, yielding
The eigen vectors are as follows:
Find S by combining the eigen vectors after they have been converted to unit vectors, as shown below.
As a result, we get S, as shown below:
Now, as shown below, evaluate B:
As a result, we can write A as:
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