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

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)
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CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based  for Term 1)
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.