Q76.Let A be a 3 × 3 matrix such that |adj(adj(adj. A))| = 124 . Then A−1adj A is equal to (1) 2√3 (2) √6 (3) 12 (4) 1
What This Question Tests
This question evaluates the understanding of properties of adjoint matrices and determinants, specifically involving multiple adjoint operations, and then simplifying the given expression.
Concepts Tested
Formulas Used
|adj A| = |A|^(n-1)
|adj(adj A)| = |A|^(n-1)²
A^(-1) = (1/|A|) * adj A
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📋 Question Details
- Chapter
- Matrices & Determinants
- Topic
- Properties of adjoint matrix
- Year
- 2023
- Shift
- 24 Jan Shift 2
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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