Question 3 - Examples - Chapter 4 Class 12 Determinants

Last updated at April 16, 2024 by

Example 8 - Evaluate determinant |3 2 3 2 2 3 2 3| - Class 12 - Examples

Example 8 - Chapter 4 Class 12 Determinants - Part 2

Go Ad-free

Transcript

Question 3 Evaluate ∆ = 3﷮2﷮3﷮2﷮2﷮3﷮3﷮2﷮3﷯﷯ First and third row are identical, hence we apply Property 3 ∆ = 3﷮2﷮3﷮2﷮2﷮3﷮3﷮2﷮3﷯﷯ ∆ = 3 2﷮3﷮2﷮3﷯﷯ – 2 2﷮3﷮3﷮3﷯﷯ + 3 2﷮2﷮3﷮2﷯﷯ = 3(2(3) – 2(3)) – 2 (2(3) – 3(3)) + 3 (2 (2) – 3(2)) = 3 (6 – 6) – 2 (6 – 9) + 3 (4 – 6) = 0 + 6 − 6 = 0 ∆ = 0 Here R1 & R3 are identical & the determinant is 0. Thus, if any two rows & columns of determinants are identical , then value of determinant is 0.

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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo