If matrix A is of order 3 × 4 and matrix B is of order 4 × 5, what is the order of the product matrix AB?
If matrix A is of order 3 × 4 and matrix B is of order 4 × 5, what is the order of the product matrix AB?
- A. 3 × 4
- B. 4 × 5
- C. 3 × 5
- D. Not defined
Answer: C) 3 × 5
Explanation: For matrix multiplication AB, the inner dimensions must match (columns of A = rows of B). The order of the product is the outer dimensions: 3 × 5.
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