# Example 12 - Chapter 4 Class 12 Determinants (Term 1)

Last updated at Jan. 23, 2020 by Teachoo

Last updated at Jan. 23, 2020 by Teachoo

Transcript

Example 12 Without expanding, prove that โ = |โ 8(๐ฅ+๐ฆ&๐ฆ" + z" &๐ง+๐ฅ@๐ง&๐ฅ&๐ฆ@1&1&1)| = 0 |โ 8(๐ฅ+๐ฆ&๐ฆ" + z" &๐ง+๐ฅ@๐ง&๐ฅ&๐ฆ@1&1&1)| Applying R1 โ R1 + R2 = |โ 8(๐ฅ+๐ฆ+๐ง&๐ฅ+๐ฆ+๐ง&๐ฅ+๐ฆ+๐ง@z&๐ฅ&๐ฆ@1&1&1)| Taking (x + y + z) common from R1 = (x + y + z) |โ 8(1&1&1@๐ง&๐ฅ&๐ฆ@1&1&1)| R1 and R3 are identical = 0 By Property: if any two row or columns of a determinant are identical then value of determinant is zero

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Chapter 4 Class 12 Determinants (Term 1)

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About the Author

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.