Linear Algebra

Outer Product

Outer product of two vectors → matrix.

Formula

Formula
(u ⊗ v)ij = ui vj

Variables

SymbolDefinitionType & rangeUnitsRole
u column vector list of real numbers input
v row vector list of real numbers input

Try it yourself

Interactive calculator
comma or space separated numbers
comma or space separated numbers
Result

Worked examples

Example 1
Givenu = 1, 2, 3, v = 4, 5
Result
45
810
1215
Example 2
Givenu = 1, 1, v = 1, 1
Result
11
11