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# Operations on Matrices - Addition of Matrices

#### notes

The matrix is the sum of the two matrices. The sum of two matrices is a matrix obtained by adding the corresponding elements of the matrices.
Thus, if A = [(a_11,a_12,a_13),(a_21,a_22,a_23)] is a 2 x 3 matrix and

B = [(b_11,b_12,b_13),(b_21,b_22,b_23)] is another 2 x 3 matrix .

Then we define
A +B = [(a_11 + b_11,a_12 + b_12,a_13 + b_13), (a_21 + b_21,a_22 + b_22,a_23 + b_23)]

In general, if A = [a_(ij)] and B = [b_(ij)] are two matrices of the same order, say m × n. Then, the sum of the two matrices A and B is defined as a matrix C = [c_(ij)]_(m × n), where c_(ij) = a_(ij) + b_(ij), for all possible values of i and j.
Video link : https://youtu.be/ZCmVpGv6_1g

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Matrices class 12 part 9 (Addition of matrices) [00:09:45]
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