Q76.If A = [ฮป1 105 ], (1) 12 (2) 19 (3) 14 (4) 10
What This Question Tests
This question involves finding the inverse of a matrix and relating it to a linear combination of the matrix itself and the identity matrix, often solvable using the Cayley-Hamilton theorem.
Concepts Tested
Formulas Used
A^-1 = (1/det(A)) * adj(A)
A^2 - Tr(A)A + det(A)I = 0
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Matrices
- Topic
- Inverse of a matrix, Cayley-Hamilton Theorem
- Year
- 2023
- Shift
- 08 Apr Shift 2
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices; Class 12 Mathematics Ch 4: Determinants
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