Question 2 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 26, 2025 by Teachoo

If for three matrices 𝐴=[𝑎𝑖𝑗]𝑚×4 , B=[𝑏𝑖𝑗]𝑛×3 𝑎𝑛𝑑 C=[𝑐𝑖 - CBSE Class 1 - CBSE Class 12 Sample Paper for 2026 Boards

part 2 - Question 2 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

part 3 - Question 2 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

Next: Question 3 → Remove Ads Share on WhatsApp

Transcript

Question 2 If for three matrices 𝐴=[𝑎_𝑖𝑗 ]_(𝑚×4)," " B=[𝑏_𝑖𝑗 ]_(𝑛×3) and C=[𝑐_𝑖𝑗 ]_(𝑝×𝑞) products 𝐴𝐵 and 𝐴𝐶 both are defined and are square matrices of same order, then value of 𝑚,𝑛,𝑝 and 𝑞 are: (A) 𝑚=𝑞=3 and 𝑛=𝑝=4 (B) 𝑚=2,𝑞=3 and 𝑛=𝑝=4 (C) 𝑚=𝑞=4 and 𝑛=𝑝=3 (D) 𝑚=4,𝑝=2 and 𝑛=𝑞=3 Let’s check both AB and AC separately For AB Order of A is m × 4 Order of B is n × 3 AB = [𝑎_𝑖𝑗 ]_(m × 4) [𝑏_𝑖𝑗 ]_(𝑛×3) This is possible only if n = 4 And, order of AB is m × 3 Since AB is square matrix Both m and 3 should be equal ∴ m = 3 For AC Order of A is m × 4 Order of C is p × q AB = [𝑎_𝑖𝑗 ]_(m × 4) [𝑐_𝑖𝑗 ]_(𝑝×𝑞) This is possible only if p = 4 And, order of AC is m × q i.e. 3 × q Since AB is square matrix Both 3 and q should be equal ∴ q = 3 Thus, m = q = 3 n = p = 4 So, the correct answer is (A)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular