Q88.Let S = {(−10 ab ); 100 elements in n=1Tn∩ is _____.
What This Question Tests
This question tests the ability to compute powers of a given 2x2 matrix and identify a pattern to determine for which 'n' the matrix raised to the power n(n+1) results in the identity matrix.
Concepts Tested
Formulas Used
Matrix multiplication
A^n = I
📚 NCERT Sections This Tests
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Matrices
- Topic
- Properties of matrices, powers of matrices
- Year
- 2022
- Shift
- 24 Jun Shift 2
- Q Number
- Q88
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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