Linear Algebra
Matrix × Vector
Transform a vector by a matrix.
Formula
Formula
y = A·x
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| A | m×n matrix | real matrix | — | input |
| x | n-vector | list of real numbers | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenA = 1, 2; 3, 4, x = 5, 6
Result[ 17, 39 ]
Example 2
GivenA = 2, 0; 0, 2, x = 1, 1
Result[ 2, 2 ]