Q68.Let A be a matrix of order 3 × 3 and det(A) = 2 . Then det(det (A) adj (5 adj (A3)) is equal to _____. (1) 256 × 106 (2) 1024 × 106 (3) 512 × 106 (4) 256 × 1011
What This Question Tests
This is a complex problem involving multiple applications of determinant properties and adjoint matrix properties in sequence for a higher-order expression.
Concepts Tested
Formulas Used
det(adj(A)) = (det(A))^(n-1)
det(kA) = k^n * det(A)
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📋 Question Details
- Chapter
- Matrices
- Topic
- Determinants and Adjoint of a Matrix
- Year
- 2022
- Shift
- 28 Jun Shift 1
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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