GATE BT 2012 • Q32
NAT • 1 Mark
Section 1: Engineering Mathematics
Engineering Mathematics
Subtopic: Calculus, Linear Algebra & Probability
Question Statement:
What is the rank of the following matrix?
5 3 1
6 2 4
14 10 0
(A) 0 (B) 1 (C) 2 (D) 3
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.32)**
**1. Governing Concept & Domain**:
This question evaluates **Engineering Mathematics** under *Section 1: Engineering Mathematics* (1 Mark, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Engineering Mathematics})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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