(C) ) (
) ( ) (
) 1 (
cos 1
cossin
k
kk k
k
x
x x xx
(D) ) (
) ( ) (
) 1 (
cos 1
cossin
k
kk k
k
x
x x xx
Consider the matrix where a and b are real numbers. The two eigenvalues of this m atrix
2
2
b
a
1 and 2 are real and distinct 2 1 when
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.31)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (1 Mark, 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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