Consider the matrix A = [5 -4
k -1], where k is a constant. If the determinant of A is
3, then the ratio of the largest eigenvalue of A to the constant k is ___________
(rounded off to 1 decimal place).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.51)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (2 Marks, 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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