Subtraction between two matrixes is possible if they have the same order or the dimensions. So, they must have the same number of rows and columns in order to subtract two or more matrices. Subtraction of matrix is possible by subtracting the element of another matrix if they have the same order.
Suppose Mohan has two shops at places A and B. Each shop sells clothes for boys and girls in three different price categories. The quantities sell by each shop are represented as matrices given below:
Properties of subtraction of matrices
- It is a non-commutative operation. If we reverse the order of the matrices and subtract both of them with the same order/dimensions, the result will differ. A-B B-A
- The negative of matrix A is written as (-A) such that if the addition of matrix with the negative matrix will always produce a null matrix. A+(-A)=0
Conditions for subtraction of matrices
- Two matrices should be of same order (number of rows=number of columns).
- Add the corresponding element of other matrices.