What are the eigenvalues of the matrix with rows (5, -4) and (0, 1)?
Answer and explanation
Correct answer: C. 1 and 5
- Step 1: The matrix is upper triangular, so the eigenvalues are the diagonal entries. Step 2. They are 5 and 1. Answer: 1 and 5. Why not the others: 6 and 5 is what you get if you give the trace and the determinant. -5 and -1 is what you get if you change the signs of the diagonal. 5 and -4 is what you get if you use a diagonal entry and the off-diagonal entry.
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