Q69.Let A = [2a 30 ], If det (Q) = 9 , then the modulus of the sum of all possible values of determinant of P is equal to: (1) 36 (2) 24 (3) 45 (4) 18
What This Question Tests
This question tests the decomposition of a matrix into symmetric and skew-symmetric parts, calculating determinants, and solving for an unknown variable based on the given conditions.
Concepts Tested
Formulas Used
P = ½(A + Aᵀ)
Q = ½(A - Aᵀ)
det(Q) for a 2x2 matrix
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📋 Question Details
- Chapter
- Matrices
- Topic
- Symmetric and Skew-Symmetric Matrices
- Year
- 2021
- Shift
- 20 Jul Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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