Linear Algebra

Frobenius Norm

Square root of the sum of squared entries.

Formula

Formula
A_F = Σ Aij2

Variables

SymbolDefinitionType & rangeUnitsRole
A matrix real matrix input

Try it yourself

Interactive calculator
rows separated by ';' , values by commas
Result

Worked examples

Example 1
GivenA = 1, 2; 3, 4
Result5.477225575
Example 2
GivenA = 3, 4
Result5