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The factorized form of the following determinant is:

  1. (m - n)(n - 1)(n)
  2. (m - l)(n - l)(n - m)
  3. (l - m)(n - l)(n - m)
  4. (m - 1)(n - 1)(n - 1)

Answer (Detailed Solution Below)

Option 2 : (m - l)(n - l)(n - m)
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Detailed Solution

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Applying R2 → R2 – R1

Applying R3 → R3 – R1

Now, expanding from a11.

= (m - l)(n - l)(n + l - m - l)

= (m - l)(n - l)(n - m)

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