Q86.Let A be a non-singular matrix of order 3 . If det(3 adj(2 adj((det A)A))) = 3−13 ⋅2−10 and det(3 adj(2 A)) = 2m ⋅3n , then |3 m + 2n| is equal to
What This Question Tests
This question assesses the application of fundamental properties of determinants and adjoints of matrices, requiring careful step-by-step evaluation of nested operations.
Concepts Tested
Formulas Used
|adj(A)| = |A|^(n-1)
|kA| = k^n |A|
adj(kA) = k^(n-1) adj(A)
📚 NCERT Sections This Tests
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Matrices
- Topic
- Properties of adjoint and determinant of matrices
- Year
- 2024
- Shift
- 09 Apr Shift 1
- Q Number
- Q86
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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