Matrix Scalar Division Calculator
Divide every element of a matrix by a nonzero scalar k. Equivalent to multiplying by 1/k.
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Notes
Scalar Division of a Matrix
Dividing a matrix by scalar k is the same as multiplying by 1/k. Every element is divided by the same constant.
Example: Divide by 2
Original A:
| 4 | 8 |
| 2 | 6 |
A / 2:
| 2 | 4 |
| 1 | 3 |
k must not be zero. Division by zero is undefined.
See also
- Matrix Calculations Guide — Scalar Operations — In-depth notes on Scalar Operations with worked examples
Frequently Asked Questions
Is dividing by k the same as multiplying by 1/k?
Yes, exactly. A/k = (1/k)·A.
What is a common use of scalar division?
Normalizing a matrix — dividing by its Frobenius norm — makes the matrix have unit norm. This is a standard step before computing condition numbers.
What happens to the determinant when dividing by k?
For an n×n matrix, det(A/k) = (1/k^n) · det(A). Dividing a 3×3 matrix by 2 multiplies the determinant by 1/8.