Question: The eigenvector shortcut of Problem 17 may fail when h = 0, forcing a return to the definition Av = λv to find the eigenvector(s).

The eigenvector shortcut of Problem 17 may fail when h = 0, forcing a return to the definition Av = λv to find the eigenvector(s). For each eigen-value in the following matrices, find the) eigenvector (s). Discuss how/why the shortcut fails and why the definition succeeds.
a.
The eigenvector shortcut of Problem 17 may fail when h

b.

The eigenvector shortcut of Problem 17 may fail when h

c.

The eigenvector shortcut of Problem 17 may fail when h

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In all the three matrices given the shortcut fails for 3 because it gives which cannot be an eigenve... View full answer

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