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Mathematics · JEE | DETERMINANTS

हिन्दी

If \( A \) is a singular square matrix, then which of the following is true?

  1. A
    \( A^{-1} \) exists
  2. B
    \( |A| \neq 0 \)
  3. C
    \( |A| = 0 \)
  4. D
    \( \text{adj } A = 0 \)
View Answer & Solution

Correct answer · Option C

\( |A| = 0 \)

Explanation

By Definition 4, a square matrix \( A \) is said to be singular if \( |A| = 0 \).
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