Q85.Let ๐ด= 2 -2 and๐ต= -1 2 . Then the number of elements in the set {๐, ๐: ๐, ๐โ1, 2, โฆ โฆ . 10 and 1 -1 -1 2 ๐๐ด๐+ ๐๐ต๐= ๐ผ} is _____.
What This Question Tests
This question tests the understanding of matrix multiplication and powers, specifically identifying if the given matrices are idempotent or follow a specific pattern of powers, to solve a matrix equation.
Concepts Tested
Formulas Used
Aยฒ = AยทA
Bยฒ = BยทB
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Matrices
- Topic
- Matrix powers and properties
- Year
- 2022
- Shift
- 25 Jun Shift 2
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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