Check whether (l + m + n) is a factor of the determinant |(l + m) (m + n) (n + l) n l m 2 2 2| or not. Give Reason

Check whether (l + m + n) is a factor of determinant |(l + m) (m + n)

Question 16 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

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Question 16 Check whether (l + m + n) is a factor of the determinant |(l + m) (m + n) (n + l) n l m 2 2 2| or not. Give Reason | (l + m n 2 m + n l 2 n + l m 2 )| Applying š‘…1→ š‘… 1 + š‘…2 | (l + m + n n 2 m + n + l l 2 n + l + m m 2 )| Taking (š‘™+š‘š+š‘›) common from š‘…_1 (l + m + n) | 1 n 2 1 l 2 1 m 2 ] Since (š‘™+š‘š+š‘›) is multiplied outside, it means that is a factor of the determinant

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