How this calculation works
Measure the largest possible amplification under each induced norm for a two-by-two matrix.
THE FORMULA
One-norm = largest absolute column sum. Infinity norm = largest absolute row sum.A worked example
The absolute column sums are 4 and 6, while both absolute row sums are 5.
Good to know
These are induced matrix norms.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Measure the largest possible amplification under each induced norm for a two-by-two matrix.
The primary result is labeled “Induced one-norm”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
These are induced matrix norms.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
The absolute column sums are 4 and 6, while both absolute row sums are 5.
Which rule does this calculator apply?
One-norm = largest absolute column sum. Infinity norm = largest absolute row sum.