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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.