Question 6 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
Last updated at April 16, 2024 by Teachoo
Let A = [𝑎𝑖𝑗] be a square matrix of order 3×3 and |A|= -7. Find the value of
𝑎
11
𝐴
21
+ 𝑎
12
𝐴
22
+ 𝑎
13
𝐴
23
where 𝐴
𝑖𝑗
is the cofactor of element 𝑎
𝑖j
Question 6 Let A = [𝑎𝑖𝑗] be a square matrix of order 3 × 3 and |A|= −7. Find the value of 𝑎11 𝐴21 + 𝑎12 𝐴22 + 𝑎13 𝐴23 where 𝐴𝑖𝑗 is the cofactor of element 𝑎𝑖j
We know that
If elements of a row (or column) are multiplied with cofactors of any other row (or column), then their sum is zero
Thus,
𝑎11 𝐴21 + 𝑎12 𝐴22 + 𝑎13 𝐴23 = 0
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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