Homework SourseWe know that a matrix of order m x n has m rows and n column
We know that a matrix of order m x n has m rows and n columns. If m=n, a matrix has the same number of rows as columns and is called a square matrix. Why is it necessary to account for the order of a matrix when adding or subtracting matrices?
We know that a matrix of order m x n has m rows and n columns. If m=n, a matrix has the same number of rows as columns and is called a square matrix. Why is it necessary to account for the order of a matrix when adding or subtracting matrices?
Solution
Let there be two matrix A and B
A = 0 7
8 9
B = 2 4 6
1 3 5
for addition(or subtraction) we add(or subtract) matrix entry-wise.
we add 0 with 2, 7 with 4, 8 with 1, 9 with 3 now we dont have any number from first matrix to add to 6 and 5
Since there is no corresponding value in first matrix so we can\'t add two matrix of unequal size.
Therefore we can only add or subtract matrices of equal size.
Addition or Subtraction of matrix of unequal size is not defined
