Matrix Scalar Subtraction Calculator
Subtract a scalar constant k from every element of a matrix. Each entry of the result equals the original entry minus k.
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Notes
Scalar Subtraction from a Matrix
Subtracting scalar k from a matrix shifts all elements downward by the same amount.
Example: Subtract 2 from Every Element
Original A:
| 5 | 3 |
| 1 | 8 |
A − 2:
| 3 | 1 |
| -1 | 6 |
See also
- Matrix Calculations Guide — Scalar Operations — In-depth notes on Scalar Operations with worked examples
Frequently Asked Questions
Is A − k the same as A + (−k)?
Yes. Subtracting k is equivalent to adding −k to every element.
Does subtracting a scalar change the rank?
Yes, it can. Subtracting the right value can create rows or columns of zeros which reduces rank.
What is a practical use of scalar subtraction?
Mean-centering a data matrix — subtracting the mean of each column — is a fundamental preprocessing step in statistics and machine learning.