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Last updated at Jan. 23, 2020 by Teachoo

Transcript

Example 10 Show that |โ 8(a&b&c@a+2x&b+2y&c+2z@x&y&z)| = 0 Solving L.H.S |โ 8(a&b&c@a+2x&b+2y&c+2z@x&y&z)| Expressing elements of 2nd row as sum of two elements = |โ 8(๐&๐&๐@๐&๐&๐@x&y&z)| + |โ 8(a&b&c@2x&2y&2z@x&y&z)| By Property 5: If some or all elements of a row or column of a determinant are expressed as sum of two (or more) terms ,then the determinant is expressed as a sum of two (or more) determinants. R1 & R2 are identical Using property: If any two rows or columns are identical, then value of determinant is 0 = 0 + |โ 8(a&b&c@2x&2y&2z@x&y&z)| = |โ 8(a&b&c@๐x&๐y&๐z@x&y&z)| Since, all elements of 2nd row are multiplied by 2, we can take 2 outside the determinant, = 2|โ 8(a&b&c@x&y&z@x&y&z)| R2 & R3 are identical = 2 ร 0 Using property: if any two rows or columns are identical, then value of determinant is 0 = 0 = R.H.S Thus L.H.S = R.H.S Hence proved

Examples

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Example 5

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 You are here

Example 11 Not in Syllabus - CBSE Exams 2021

Example 12 Not in Syllabus - CBSE Exams 2021

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

Example 17

Example 18 Important

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Example 21

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Example 23

Example 24 Important

Example 25

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.