Matrix Scalar Addition Calculator
Add a scalar constant k to every element of a matrix. Each entry of the result equals the original entry plus k.
Loading calculator…
Notes
Scalar Addition of a Matrix
Adding a scalar k to a matrix means adding k to each individual element. This shifts all values by the same amount.
Example: Add 3 to Every Element
Original A:
| 1 | -2 |
| 0 | 4 |
A + 3:
| 4 | 1 |
| 3 | 7 |
See also
- Matrix Calculations Guide — Scalar Operations — In-depth notes on Scalar Operations with worked examples
Frequently Asked Questions
Is scalar addition the same as adding the zero matrix?
No. Scalar addition adds k to every element. Adding a zero matrix adds zero to every element (leaving the matrix unchanged).
What effect does adding a scalar have on the determinant?
Adding a scalar to every element changes the determinant in a complex way — it is not simply det(A) + k.
Does scalar addition preserve matrix rank?
Not necessarily. Scalar addition can create or destroy linearly dependent rows, changing the rank.