GATE AE 2012 • Q33 NAT • 1 Mark

Engineering Mathematics

Linear Algebra & Differential Equations

Subtopic: Mathematical Formulations

Question Statement:

One eigenvalue of the matrix 271 0 522 5 16 5 A ⎡ ⎤ ⎢ ⎥=⎢ ⎥ ⎢ ⎥⎣ ⎦ is - 9.33. One of the other eigenvalues is (A) 18.33 (B) -18.33 (C) 18.33 -9.33i (D) 18.33+9.33i

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2012 Q.33)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Linear Algebra & Differential Equations equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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