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Mathematics · JEE | MATRICES

हिन्दी

If a square matrix \( B = [b_{ij}]_{m \times m} \) is a diagonal matrix, then which of the following is true for all \( i \neq j \)?

  1. A
    \( b_{ij} = k \)
  2. B
    \( b_{ij} = 1 \)
  3. C
    \( b_{ij} = 0 \)
  4. D
    \( b_{ij} \neq 0 \)
View Answer & Solution

Correct answer · Option C

\( b_{ij} = 0 \)

Explanation

By definition, a square matrix is a diagonal matrix if all its non-diagonal elements are zero, meaning \( b_{ij} = 0 \) when \( i \neq j \).
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