Q70.Let A = (α4 −2β ) (1) −18 (2) 18 (3) −50 (4) 50 1 [t] is the greatest
What This Question Tests
The question tests the application of the Cayley-Hamilton theorem for a 2x2 matrix, which states that every square matrix satisfies its own characteristic equation, to find the determinant.
Concepts Tested
Formulas Used
det(A^n) = (det A)^n
A^2 + trace(A)A + det(A)I = O for 2x2 matrix
📚 NCERT Sections This Tests
5.18 — What Is Crystal Field Splitting Energy? How Does The Magnitude Of Do Decide
Chemistry Class 11 · Chapter 5
5.18 What is crystal field splitting energy? How does the magnitude of Do decide the actual configuration of d orbitals in a coordination entity?
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Chemistry Class 11 · Chapter 3
3.18 For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.
4.8 — A Closely Wound Solenoid 80 Cm Long Has 5 Layers Of Windings Of 400
Physics Class 11 · Chapter 4
4.8 A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each. The diameter of the solenoid is 1.8 cm. If the current carried is 8.0 A, estimate the magnitude of B inside the solenoid near its centre.
📋 Question Details
- Chapter
- Matrices
- Topic
- Matrix properties and determinant
- Year
- 2022
- Shift
- 27 Jul Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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