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 𝑅1→ 𝑅 1 + 𝑅2 | (l + m + n n 2 m + n + l l 2 n + l + m m 2 )| Taking (𝑙+𝑚+𝑛) common from 𝑅_1 (l + m + n) | 1 n 2 1 l 2 1 m 2 ] Since (𝑙+𝑚+𝑛) is multiplied outside, it means that is a factor of the determinant

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo