The following calculator allows you to calculate 4x4 matrix arithmetic. Enter the values into the matrix into the top two matries and then press "+ - or * " to display the result in the bottom matrix:
Matrix Addition
To add matrices just add the corresponding elements, for 4x4 matrices then,
| a00 + b00 |
a01 + b01 |
a02 + b02 |
a03 + b03 |
| a10 + b10 |
a11 + b11 |
a12 + b12 |
a13 + b13 |
| a20 + b20 |
a21 + b21 |
a22 + b22 |
a23 + b23 |
| a30 + b30 |
a31 + b31 |
a32 + b32 |
a33 + b33 |
|
= |
| a00 |
a01 |
a02 |
a03 |
| a10 |
a11 |
a12 |
a13 |
| a20 |
a21 |
a22 |
a23 |
| a30 |
a31 |
a32 |
a33 |
|
+ |
| b00 |
b01 |
b02 |
b03 |
| b10 |
b11 |
b12 |
b13 |
| b20 |
b21 |
b22 |
b23 |
| b30 |
b31 |
b32 |
b33 |
|
Matrix Subtraction
To subtract matrices just subtract the corresponding elements, for 4x4 matrices then,
| a00 - b00 |
a01 - b01 |
a02 - b02 |
a03 - b03 |
| a10 - b10 |
a11 - b11 |
a12 - b12 |
a13 - b13 |
| a20 - b20 |
a21 - b21 |
a22 - b22 |
a23 - b23 |
| a30 - b30 |
a31 - b31 |
a32 - b32 |
a33 - b33 |
|
= |
| a00 |
a01 |
a02 |
a03 |
| a10 |
a11 |
a12 |
a13 |
| a20 |
a21 |
a22 |
a23 |
| a30 |
a31 |
a32 |
a33 |
|
- |
| b00 |
b01 |
b02 |
b03 |
| b10 |
b11 |
b12 |
b13 |
| b20 |
b21 |
b22 |
b23 |
| b30 |
b31 |
b32 |
b33 |
|
Matrix Multiplication
The multiplication of two 4x4 matrices is:
| ma00*mb00 + ma01*mb10 + ma02*mb20 + ma03*mb30 |
ma00*mb01 + ma01*mb11 + ma02*mb21 + ma03*mb31 |
ma00*mb02 + ma01*mb12 + ma02*mb22 + ma03*mb32 |
ma00*mb03 + ma01*mb13 + ma02*mb23 + ma03*mb33 |
| ma10*mb00 + ma11*mb10 + ma12*mb20 + ma13*mb30 |
ma10*mb01 + ma11*mb11 + ma12*mb21 + ma13*mb31 |
ma10*mb02 + ma11*mb12 + ma12*mb22 + ma13*mb32 |
ma10*mb03 + ma11*mb13 + ma12*mb23 + ma13*mb33 |
| ma20*mb00 + ma21*mb10 + ma22*mb20 + ma23*mb30 |
ma20*mb01 + ma21*mb11 + ma22*mb21 + ma23*mb31 |
ma20*mb02 + ma21*mb12 + ma22*mb22 + ma23*mb32 |
ma20*mb03 + ma21*mb13 + ma22*mb23 + ma23*mb33 |
| ma30*mb00 + ma31*mb10 + ma32*mb20 + ma33*mb30 |
ma30*mb01 + ma31*mb11 + ma32*mb21 + ma33*mb31 |
ma30*mb02 + ma31*mb12 + ma32*mb22 + ma33*mb32 |
ma30*mb03 + ma31*mb13 + ma32*mb23 + ma33*mb33 |
This site may have errors. Don't use for critical systems.
