Definition, adding & subtracting of matrices

Definition of Matrix

Numbers in a rectangular system are called a martrix.

Matrix is a rectangular array of numbers, arranged in rows and columns.

The dimension of the matrix is always determined first by the number of rows and then by the number of columns.

A=a1,1a1,2a1,ma2,1a2,2a2,man,1an,2an,m

Adding & subtracting of matrices

The addition (subtraction) of matrices is an operation of adding (subtracting) corresponding elements of two or more matrices.
A matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions.

C=A±B
Ci,j=Ai,j±Bi,j

Example

C=A+B=132100122+805750211=

=1+83+02+51+70+50+01+22+12+1=937850333

Keywords: Definition, adding & subtracting matrices