Q68.If ๐ด and ๐ต are two non-zero ๐ร ๐ matrices such that ๐ด2 + ๐ต= ๐ด2๐ต, then (1) ๐ด๐ต= ๐ผ (2) ๐ด2๐ต= ๐ผ (3) ๐ด2 = ๐ผ or ๐ต= ๐ผ (4) ๐ด2๐ต= ๐ต๐ด2
What This Question Tests
This question requires manipulating matrix equations and applying properties of matrix algebra, particularly involving the identity matrix and inverse. It checks if one can deduce relationships between matrices A and B from the given equation.
Concepts Tested
Formulas Used
A(B+C) = AB+AC
AB=I implies B=Aโปยน
๐ NCERT Sections This Tests
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท 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.
13.5 โ The Q Value Of A Nuclear Reaction A + B ยฎ C + D Is Defined By
Physics Class 12 ยท Chapter 13
13.5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ mC โ 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 โ12 H+12 H (ii) 126 C+126 C โ1020 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
๐ Question Details
- Chapter
- Matrices
- Topic
- Properties of matrix operations
- Year
- 2023
- Shift
- 24 Jan Shift 1
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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