If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (2A – 5B) is |
m × 3 m × n 3 × 3 3 × n |
3 × n |
Given that, the order of matrix A is 3 × m, and the order of B is 3 × n. Also, m = n. So, the order of matrix A and B is the same, i.e. 3 × m. Thus, subtraction of matrices is possible, and (2A – 5B) also has the same order, i.e. 3 × n. |