Matrix Norm Calculator
Compute the Frobenius norm, 1-norm (max column sum), infinity-norm (max row sum), and maximum absolute value of a matrix.
Input
Enter one matrix row per line. Separate elements with spaces or commas, and keep the same number of columns in every row.
Result
Frobenius norm
16.8819
3 × 3 matrix
1-norm (max column sum)
18
∞-norm (max row sum)
24
Max absolute value
9
Input matrix
| 1 | 2 | 3 |
| 4 | 5 | 6 |
| 7 | 8 | 9 |
How it works
- The Frobenius norm is the square root of the sum of squares of all entries: √(ΣΣaᵢⱼ²).
- The 1-norm sums the absolute values within each column and takes the largest (maximum absolute column sum).
- The infinity-norm sums the absolute values within each row and takes the largest (maximum absolute row sum).
- The maximum absolute value is the largest absolute value among all entries.
- Enter one matrix row per line, with elements separated by spaces or commas. Every row must have the same number of columns.
Reviews
Tell us what you think of this calculator.
Write a review
- Home
Matrix Norm Calculator