If A and B are matrices of order 3 × 𝑛 and 𝑚 × 5 respectively, then find the order of matrix 5A – 3B, given that it is defined.
CBSE Class 12 Sample Paper for 2021 Boards
CBSE Class 12 Sample Paper for 2021 Boards
Last updated at Dec. 16, 2024 by Teachoo
Transcript
Question 4 If A and B are matrices of order 3 × 𝑛 and 𝑚 × 5 respectively, then find the order of matrix 5A – 3B, given that it is defined. 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