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
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CBSE Class 12 Sample Paper for 2021 Boards
Last updated at April 16, 2024 by Teachoo
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