GATE BT 2011 • Q46 MCQ • 2 Marks

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Fundamentals of Linear Algebra

Question Statement:

Value of the determinant mentioned below is 202 11

Options:

  • (A) 24
  • (B) -30
  • (C) -24
  • (D) -10

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2011 Q.46)** **1. Governing Concept & Syllabus Classification**: - **Section**: Biotechnology - **Question Type**: **MCQ** (2 Marks) - **Core Topic**: Biochemistry, Microbiology & Molecular Biology **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Systematic Conceptual & Option-by-Option Evaluation**: - Problem Focus: *"Value of the determinant mentioned below is 202 11..."* - **Option (C) [CORRECT]**: *"-24"* - Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required. - **Option (A) [INCORRECT]**: *"24"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (B) [INCORRECT]**: *"-30"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (D) [INCORRECT]**: *"-10"* does not satisfy the precise boundary conditions or molecular specificity. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **C** - **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).

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