GATE BT 2014 • Q1 NAT • 1 Mark

General Aptitude

Quantitative & Analytical Aptitude

Subtopic: Analytical Reasoning

Question Statement:

The eigenvalues of AA = �1 -4 2 -3� are (A) 2±i (B) -1, -2 (C) -1±2i (D) non-existent

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.1)** **1. Governing Concept & Domain**: This question evaluates **Quantitative & Analytical Aptitude** under *General Aptitude* (1 Mark, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Quantitative & Analytical Aptitude})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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