Q24.Let S = ∈Z : Am2 + Am = 3I , where A = 2 −1 . Then n(S) is equal to ______. {m −A−6} [ 1 0 ]
What This Question Tests
The question tests the ability to solve a matrix equation involving powers and inverse of a matrix to find the value of an unknown scalar 'm', requiring knowledge of matrix operations and definitions.
Concepts Tested
Formulas Used
A⁻¹
A² = A·A
det(A)
Matrix addition and subtraction
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1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
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5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
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📋 Question Details
- Chapter
- Matrices
- Topic
- Properties of matrices and matrix equations
- Year
- 2025
- Shift
- 29 Jan Shift 1
- Q Number
- Q24
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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