Question 17 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
Last updated at March 22, 2023 by Teachoo
Given that A = [πππ] is a square matrix of order 3 Γ 3 and |A| = β7, then the value of β_(i=1)
3
a
i2
A
i2
" Β , where π΄
ππ
denotes the cofactor of element πππ Β is:
(a) 7Β (b) β7Β (c) 0Β (d) 49
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Question 17 Given that A = [πππ] is a square matrix of order 3 Γ 3 and |A| = β7, then the value of β_(π=1)^3β"ππ2π΄π2 " , where π΄ππ denotes the cofactor of element πππ is: (a) 7 (b) β7 (c) 0 (d) 49
Now,
= π_ππ π¨_ππ+π_ππ π¨_ππ+π_ππ π¨_ππ
= Sum of product of elements of Row R2 with its corresponding cofactors
= Determinant of A
= |A|
= 7
So, the correct answer is (B)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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