Determinants
If two rows of a determinant are identical, then the value of the determinant is
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Solution
0
Property of Determinants:
- Identical Rows: If any two rows (or columns) of a determinant are identical, its value is zero.
- Reasoning: This can be proved by swapping the two identical rows. Swapping rows should negate the determinant (D=−D′). But since the rows were identical, the determinant should remain the same (D=D′). The only number satisfying D=−D is 0.
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About This Question
- Subject
- mathematics
- Chapter
- matrices and determinants
- Topic
- determinants
- Difficulty
- Easy
- Year
- 2025
This easy difficulty mathematics question is from the chapter matrices and determinants, covering the topic of determinants. It appeared in the 2025 exam. Practice this and similar questions to strengthen your understanding of matrices and determinants concepts.
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