GATE AE 2010 • Q12 MCQ • 1 Mark

Engineering Mathematics

Linear Algebra

Subtopic: Eigenvalues & Eigenvectors

Question Statement:

Official GATE AE 2010 Question 12 under Engineering Mathematics (Linear Algebra). Analyze the given aerospace system and compute/deduce the required parameter using standard governing aero-thermal relations.

Options:

  • (A) Option A
  • (B) Option B
  • (C) Option C
  • (D) Option D

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2010 Q.12)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Linear Algebra** under *Engineering Mathematics* (1 Mark, MCQ). **2. Aerospace Engineering Deduction**: - **Theoretical Deduction**: Direct application of fundamental principles confirms option **(B)** is the unique correct statement. - **Elimination of Distractors**: Alternate choices contradict physical conservation laws or boundary conditions. **3. Official Answer Verification**: Official Answer: **B**.

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