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adding addition formula

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Jidong Xiao
2023-09-22 00:32:22 -04:00
parent ba23cbec6d
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hws/03_matrix_class/README.md
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@@ -141,8 +141,9 @@ methods (not operators) that are inside the class definition, so the current Mat
just one argument, a second Matrix which we will refer to as B, and modify A if the dimensions of A and B just one argument, a second Matrix which we will refer to as B, and modify A if the dimensions of A and B
match. If the dimensions match, the functions should return true, otherwise they should return false. match. If the dimensions match, the functions should return true, otherwise they should return false.
Addition of two matrices, C = A + B, and subtraction of two matrices, D = A − B are formally defined as: Addition of two matrices, C = A + B, and subtraction of two matrices, D = A − B are formally defined as:
(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) Ci,j = ai,j + bi,j
(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) Di,j = ai,j − bi,j ![alt text](images/matrix_addition_formula.png "matrix addition formula")
Consider these two matrices: Consider these two matrices:
![alt text](images/matrix_addition.png "matrix addition") ![alt text](images/matrix_addition.png "matrix addition")