Vector Outer Product (Tensor Product) Calculator

Compute the outer (tensor) product of two vectors A and B as an m×n matrix where C(i,j)=aᵢ×bⱼ, with rows, columns, and rank.

Input

Enter vector A on the first line and vector B on the second (separate components with spaces or commas).

Vectors A and B (one per line)

Outer product matrix size

3 × 2

Rows (m)

Columns (n)

Rank

Outer product matrix C (C(i,j)=aᵢ×bⱼ)

The outer (tensor) product of vectors A=(a₁,…,aₘ) and B=(b₁,…,bₙ) is the m×n matrix C(i,j)=aᵢ×bⱼ.
Enter vector A on the first line and vector B on the second line, separating components with spaces or commas.
The result matrix has m rows (dimension of A) and n columns (dimension of B).
An outer product matrix has rank 1 unless one of the vectors is the zero vector, in which case every entry is 0 and the rank is 0.
Note that the outer product differs from the cross product (the 3D vector product).

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