Given that matrices A and B are of order 3 × n and m × 5 respectively, then the order of matrix C = 5A + 3B is

(a) 3 × 5 and m = n    (b) 3 × 5
(c) 3 ×  3                    (d) 5 × 5

This question is inspired from Question 4 - CBSE Class 12 Sample Paper for 2021 Boards

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Question 13 Given that matrices A and B are of order 3 × n and m × 5 respectively, then the order of matrix C = 5A + 3B is (a) 3 × 5 and m = n (b) 3 × 5 (c) 3 × 3 (d) 5 × 5 The Order of matrices A and B are 𝐴_(3 × 𝑛) and 𝐵_(𝑚 × 5) To find 5A − 2B, The order of matrix A and B must be the same Thus, 3 × n = m × 5 Thus, n = 5 Therefore, order of (5A − 2B) is 3 × 5 So, the correct answer is (B)

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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.