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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

Examples

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Example 6 Not in Syllabus - CBSE Exams 2021

Example 7 Not in Syllabus - CBSE Exams 2021

Example 8 Not in Syllabus - CBSE Exams 2021

Example 9 Important Not in Syllabus - CBSE Exams 2021

Example 10 Important Not in Syllabus - CBSE Exams 2021

Example 11 Not in Syllabus - CBSE Exams 2021

Example 12 Not in Syllabus - CBSE Exams 2021 You are here

Example 13 Not in Syllabus - CBSE Exams 2021

Example 14 Important Not in Syllabus - CBSE Exams 2021

Example 15 Important Not in Syllabus - CBSE Exams 2021

Example 16 Important Not in Syllabus - CBSE Exams 2021

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Example 18 Important

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Example 24 Important

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Example 26 Important

Example 27 Not in Syllabus - CBSE Exams 2021

Example 28 Important Not in Syllabus - CBSE Exams 2021

Example 29 Not in Syllabus - CBSE Exams 2021

Example 30

Example 31 Important Not in Syllabus - CBSE Exams 2021

Example 32 Important Not in Syllabus - CBSE Exams 2021

Example 33 Important Not in Syllabus - CBSE Exams 2021

Example 34 Important Not in Syllabus - CBSE Exams 2021

Chapter 4 Class 12 Determinants

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.