Question

Asked Nov 26, 2019

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I am stuck on number 14. The directions say Find the basis for the eigenspace corresponding to each listed eigenvalue.

Step 1

By definition, the Eigen space corresponding to the Eigen value **-2** is the null space of the matrix **A+2I. **Thus we have:

Step 2

Thus, the solution ** x **of

* *

Thus, the null space N(A+2I) consists of vectors.

Step 3

For any scaler ** x2** and

Hence we have,

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