alleryStart learning →Given matrices A ∈ ℝ^(m×n) and B ∈ ℝ^(n×p), the product AB exists and lies in
Aℝ^(m×p)
Bℝ^(m×n)
Cℝ^(n×p)
Dℝ^(p×m)
Answer & Solution
Correct answer: A. ℝ^(m×p)
Matrix multiplication requires inner dimensions to match (n = n) and produces a matrix with the outer dimensions: m rows × p columns.
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