Determinants
The value of the determinant |[2, 3], [4, 5]| is
Select the correct option:
Solution
-2
- Formula: For a 2×2 determinant acbd, the value is ad−bc.
- Identify Elements: a=2,b=3,c=4,d=5.
- Computation:
- 2×5−3×4
- 10−12=−2.
- Conclusion: The determinant is −2.
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About This Question
- Subject
- mathematics
- Chapter
- matrices and determinants
- Topic
- determinants
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
-2
- Formula: For a 2×2 determinant acbd, the value is ad−bc.
- Identify Elements: a=2,b=3,c=4,d=5.
- Computation:
- 2×5−3×4
- 10−12=−2.
- Conclusion: The determinant is −2.
This easy difficulty mathematics question is from the chapter matrices and determinants, covering the topic of determinants. It appeared in the 2025 exam.
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