Check sibling questions

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


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)

  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

About the Author

Davneet Singh

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 and Computer Science at Teachoo