GATE_AE_2027_MOCK_03_Q12 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 1 Mark
Engineering Mathematics • Linear Algebra • Eigenvalues and Eigenvectors

What is the product of the eigenvalues of the matrix A = [[3, 2], [1, 4]]?

Answer Key:
10

Step-by-Step Verified Solution

### Solution: The product of eigenvalues equals the determinant: det(A) = (3)(4) - (2)(1) = 12 - 2 = 10. Correct: 10.
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