Q77.Let A be a symmetric matrix such that |A| = 2 and [23 1 1 2 2 A is s , then βs is equal to _________. α2
What This Question Tests
This question tests the condition for a matrix to be invertible, which is that its determinant must be non-zero. It requires calculating the determinant of a 3x3 matrix with exponential and trigonometric entries and finding values of t for which it is non-zero.
Concepts Tested
Formulas Used
A matrix is invertible if det(A) ≠ 0
Determinant calculation for 3x3 matrix
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Determinants
- Topic
- Invertibility of matrices
- Year
- 2023
- Shift
- 29 Jan Shift 2
- Q Number
- Q77
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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