adding addition and transpose
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@@ -131,17 +131,8 @@ defined as:
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(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) a
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(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) a
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T
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T
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i,j = aj,i
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i,j = aj,i
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m1 =
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1 2 3
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4 5 6
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, m1.transpose() =⇒
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1 4
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2 5
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3 6
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## Binary Matrix Operations
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## Binary Matrix Operations
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@@ -154,26 +145,8 @@ Addition of two matrices, C = A + B, and subtraction of two matrices, D = A −
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(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) Ci,j = ai,j + bi,j
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(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) Ci,j = ai,j + bi,j
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(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) Di,j = ai,j − bi,j
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(∀i,j |i ∈ {0, 1, . . . , m − 2, m − 1}, j ∈ {0, 1, . . . , n − 2, n − 1}) Di,j = ai,j − bi,j
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Consider these two matrices:
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Consider these two matrices:
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m1 =
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1 2 3
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4 5 6
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m2 =
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4 16 25
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14 3.4 3.64159
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m1 + m2 =
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1 + 4 2 + 16 3 + 25
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4 + 14 5 + 3.4 6 + 3.64159
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=
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5 18 28
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18 8.4 9.64159
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m1 − m2 =
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1 − 4 2 − 16 3 − 25
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4 − 14 5 − 3.4 6 − 3.64159
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=
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−3 −14 −22
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−10 1.6 2.35841
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## Harder Matrix Operations
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## Harder Matrix Operations
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