adding addition and transpose

This commit is contained in:
Jidong Xiao
2023-09-22 00:03:13 -04:00
parent 39fb58f87e
commit 2dcb80f810

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@@ -131,17 +131,8 @@ defined as:
(∀i,j |i ∈ {0, 1, . . . , m 2, m 1}, j ∈ {0, 1, . . . , n 2, n 1}) a
T
i,j = aj,i
m1 =
1 2 3
4 5 6
, m1.transpose() =⇒
1 4
2 5
3 6
![alt text](images/matrix_transpose.png "matrix transpose")
## Binary Matrix Operations
@@ -154,26 +145,8 @@ Addition of two matrices, C = A + B, and subtraction of two matrices, D = A
(∀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
Consider these two matrices:
m1 =
1 2 3
4 5 6
m2 =
4 16 25
14 3.4 3.64159
m1 + m2 =
1 + 4 2 + 16 3 + 25
4 + 14 5 + 3.4 6 + 3.64159
=
5 18 28
18 8.4 9.64159
m1 m2 =
1 4 2 16 3 25
4 14 5 3.4 6 3.64159
=
3 14 22
10 1.6 2.35841
![alt text](images/matrix_addition.png "matrix addition")
## Harder Matrix Operations