Linear Algebra Lab — Matrix Multiplication

Matrix × Matrix Multiplication

Set sizes so that A (m×n) and B (n×p) are compatible. Hover or click a cell in C = A×B to see the row·column dot product that produced it.

m (rows of A)

n (cols of A = rows of B)

p (cols of B)

idle

A's row i B's column j C(i,j)

A ∈ ℝ^3×4

B ∈ ℝ^4×3

C = A×B ∈ ℝ^3×3

C[i,j] = Σ_k=1..n A[i,k] · B[k,j]