A= [1 4 7 2 5 8 3 6 9] and B = [ 1 2 3 4 5 6 7 8 9] verify that (A+B) T=AT+BT
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. If A and B are matrices of the same size, then they can be added. (This is similar to the restriction on adding vectors, namely, only vectors from the same space R n can be added; you cannot add a 2‐vector to a 3‐vector, for example.) If A = [aij] and B = [bij] are both m x n matrices, then their sum, C = A + B, is also an m x n matrix, and its entries are given by the formula
Step-by-step explanation:
1 Consider the following matrices
2 If any matrix A is added to the zero matrix of the same size, the result is clearly equal to A:
3 Find the matrix B such that A + B = C, where
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