Q69.Let A be a 3 × 3 invertible matrix. If |adj(24A)| =adj (3 adj (2A))|, then |A|2 is equal to (1) 26 (2) 212 (3) 512 (4) 66
What This Question Tests
This problem requires a strong understanding of properties of adjoints and determinants of matrices, especially with scalar multiplication.
Concepts Tested
Formulas Used
|adj(A)| = |A|^(n-1)
|kA| = k^n |A|
adj(kA) = k^(n-1) adj(A)
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📋 Question Details
- Chapter
- Matrices & Determinants
- Topic
- Determinants
- Year
- 2022
- Shift
- 26 Jun Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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