Question: i. For a 2 x 2 matrix algebraically determine conditions that would lead to (a) distinct eigenvalues, (b) a repeated eigenvalue with only one

i. For a 2 x 2 matrix algebraically determine conditions that would

i. For a 2 x 2 matrix algebraically determine conditions that would lead to (a) distinct eigenvalues, (b) a repeated eigenvalue with only one non-linearly independent vector, and (c) a repeated eigenvalue with two linearly independent vectors. ii. Hence provide original examples of each type. iii. Can you find any similar conditions for the different cases for a 3 x 3 matrix?

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