The eigenvalues of the matrix with rows (-2, -1); (0, -4) are

Answer and explanation

Correct answer: C. -4 and -2

  1. Step 1: The matrix is upper triangular, so the eigenvalues are its diagonal entries. Step 2. They are -2 and -4. Answer: -4 and -2. Why not the others: -6 and 8 is what you get if you give the trace and determinant. 2 and 4 is what you get if you change the signs. -2 and -1 is what you get if you include the off-diagonal entry.

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