Algebraic Operations on Matrices - Addition of Matrices




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

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