Q21.Let A be a square matrix of order 3 such that det(A) = −2 and det(3 adj(−6 adj(3A))) = 2m+n ⋅3mn, m > n . Then 4 m + 2n is equal to _______ , then m −n is equal to _______
What This Question Tests
This question tests the application of multiple properties of determinants, including the determinant of a scalar multiple of a matrix and the determinant of an adjoint matrix, for higher-order compositions.
Concepts Tested
Formulas Used
det(kA) = k^n det(A)
det(adj(A)) = (det(A))^(n-1)
📚 NCERT Sections This Tests
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Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
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Chemistry Class 11 · Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
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Physics Class 11 · Chapter 2
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 & Determinants
- Topic
- Properties of Determinants and Adjoint Matrix
- Year
- 2025
- Shift
- 22 Jan Shift 1
- Q Number
- Q21
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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