CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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Question 13 - 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 April 16, 2024 by

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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Transcript

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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.