Mathematics

Addition and Subtraction

Addition and subtraction of matrices is defined just as it is for arrays, element-by-element. Adding A to B and then subtracting A from the result recovers B.

X = A + B

X =
       9     2     7
       4     7    10
       5    12     8

Y = X -A

Y =
       8     1     6
       3     5     7
       4     9     2

Addition and subtraction require both matrices to have the same dimension, or one of them be a scalar. If the dimensions are incompatible, an error results.

X = A + C
Error using ==> +
Matrix dimensions must agree.

w = v + s

w = 
       9     7     6

Creation

Vector Products and Transpose