Question Statement:
If A and B are both non-singular n n matrices, then which of the following statement is NOT
TRUE. Note: det represents the determinant of a matrix.
Options:
-
(A) det(AB) = det(A)det(B)
-
(B) det(A+B) = det(A) + det(B)
-
(C) det(AA-1) = 1
-
(D) det(AT) = det(A)
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2016 Q.10)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Verbal & Numerical Aptitude.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test