Matrix operation: The addition, multiplication and transposing of matrix is simply termed as matrix operation.
Operation of matrix is included matrix addition, matrix multiplication and transpose.
Matrix addition: If two or more matrix are in same dimension then matrix addition or substruction can do.
Matrix addition is commutative and associative properties.
Let A and B two matrix of same dimension. Then
A + B = B + A
The above equation proves that the matrix addition is commutative.
Again if A, B and C are three matrix of same dimension, then
(A + B)+ C= A + (B + C)
The above equation shows that matrix addition is associative.
Multiplication of matrix: Multiplication of a matrix by a scalar number is simply done by the multiplying of each elements of the matrix by the scalar number.
Transpose of a matrix: Transpose of a matrix is found by the interchanging the rows and columns of the matrix.