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
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Worked examples

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