A 3×3 matrix has eigenvalues 3, -3 and 4. What is its determinant?
Answer and explanation
Correct answer: C. -36
- Step 1: The determinant equals the product of the eigenvalues. Step 2. 3 × -3 × 4 = -36. Answer: -36. Why not the others: 4 is what you get if you give the trace. 36 is what you get if you get the sign wrong. -9 is what you get if you give the sum of pairwise products.
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