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 Sept. 4, 2021 by Teachoo
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
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CBSE Class 12 Sample Paper for 2021 Boards
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)
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.