Q86.The number of elements in the set {𝐴= 𝑎 𝑏 𝑎, 𝑏, 𝑑∈{ - 1, 0, 1} and (𝐼- 𝐴) 0 𝑑: is 2 × 2 identity matrix, is .
What This Question Tests
This problem requires setting up a 2x2 matrix, performing matrix operations (subtraction, multiplication) and then solving a matrix equation involving powers of matrices with elements from a given set.
Concepts Tested
Formulas Used
Determinant of 2x2 matrix: ad-bc
Matrix multiplication
📚 NCERT Sections This Tests
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.
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
13.5 — The Q Value Of A Nuclear Reaction A + B ® C + D Is Defined By
Physics Class 12 · Chapter 13
13.5 The Q value of a nuclear reaction A + b ® C + d is defined by Q = [ mA + mb – mC – md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H →12 H+12 H (ii) 126 C+126 C →1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
📋 Question Details
- Chapter
- Matrices
- Topic
- Matrix Properties and Equations
- Year
- 2021
- Shift
- 31 Aug Shift 2
- Q Number
- Q86
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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