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  1. Chapter 4 Class 12 Determinants (Term 1)
  2. Serial order wise

Transcript

Ex 4.2, 1 Using the property of determinants and without expanding, prove that: |โ–ˆ(๐‘ฅ ๐‘Ž ๐‘ฅ+๐‘Ž@๐‘ฆ ๐‘ ๐‘ฆ+๐‘@๐‘ง ๐‘ ๐‘ง+๐‘)| = 0 โˆ† = |โ–ˆ(๐‘ฅ ๐‘Ž ๐‘ฅ+๐‘Ž@๐‘ฆ ๐‘ ๐‘ฆ+๐‘@๐‘ง ๐‘ ๐‘ง+๐‘)| C1 โ†’ C1 + C2 โˆ† = |โ–ˆ(๐’™+ ๐’‚ ๐‘Ž ๐’™+๐’‚@๐’š+๐’ƒ ๐‘ ๐’š+๐’ƒ@๐’› +๐’„ ๐‘ ๐’›+๐’„)| C1 and C3 is same โˆ† =๐ŸŽ By Property: if any two row or columns of a determinant are identical then value of determinant is zero

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.