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Ex 4.2, 1 - Using property of determinants, without expanding - Two rows or columns same

  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Ex 4.2, 1 Using the property of determinants and without expanding, prove that: ๐‘ฅ ๐‘Ž ๐‘ฅ+๐‘Ž๏ทฎ๐‘ฆ ๐‘ ๐‘ฆ+๐‘๏ทฎ๐‘ง ๐‘ ๐‘ง+๐‘๏ทฏ๏ทฏ = 0 โˆ† = ๐‘ฅ ๐‘Ž ๐‘ฅ+๐‘Ž๏ทฎ๐‘ฆ ๐‘ ๐‘ฆ+๐‘๏ทฎ๐‘ง ๐‘ ๐‘ง+๐‘๏ทฏ๏ทฏ C1 โ†’ C1 + C2 โˆ† = ๐‘ฅ+ ๐‘Ž ๐‘Ž ๐‘ฅ+๐‘Ž๏ทฎ๐‘ฆ +๐‘ ๐‘ ๐‘ฆ+๐‘๏ทฎ๐‘ง +๐‘ ๐‘ ๐‘ง+๐‘๏ทฏ๏ทฏ C1 and C3 is same โˆ† =0

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