(Algebra: add two matrices) Write a function to add two matrices. The header of the function is: def addMatrix(a, b): In order to be added, the two matrices must have the same dimensions and the same or compatible types of elements. Let c be the resulting matrix. Each element Cij is aj + bj. For example, for two 3 X 3 matrices a and b, c is
(Algebra: add two matrices) Write a function to add two matrices. The header of the function is: def addMatrix(a, b): In order to be added, the two matrices must have the same dimensions and the same or compatible types of elements. Let c be the resulting matrix. Each element Cij is aj + bj. For example, for two 3 X 3 matrices a and b, c is
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11.5
Python please
![### Matrix Addition Tutorial
When adding two 3x3 matrices, each element in the resulting matrix is the sum of corresponding elements from the two input matrices. Here’s how matrix addition works mathematically:
\[
\begin{pmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33} \\
\end{pmatrix}
+
\begin{pmatrix}
b_{11} & b_{12} & b_{13} \\
b_{21} & b_{22} & b_{23} \\
b_{31} & b_{32} & b_{33} \\
\end{pmatrix}
=
\begin{pmatrix}
a_{11} + b_{11} & a_{12} + b_{12} & a_{13} + b_{13} \\
a_{21} + b_{21} & a_{22} + b_{22} & a_{23} + b_{23} \\
a_{31} + b_{31} & a_{32} + b_{32} & a_{33} + b_{33} \\
\end{pmatrix}
\]
#### Program Prompt
Write a test program that prompts the user to enter two 3x3 matrices and displays their sum. Here is a sample run of the program:
```plaintext
Enter matrix1: 1 2 3 4 5 6 7 8 9
Enter matrix2: 0 2 4 1.4 5 2.2 1.1 4.3 5.2
```
#### Sample Calculation
The matrices are added as follows:
\[
\begin{aligned}
&\begin{array}{ccc}
1.0 & 2.0 & 3.0 \\
4.0 & 5.0 & 6.0 \\
11.0 & 8.0 & 11.0 \\
\end{array}
+
\begin{array}{ccc}
0.0 & 2.0 & 4.0 \\
1.0 & 4.5 & 2.2 \\
1.1 & 4.3 & 5.2 \\
\end{array](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f14a37a-f1a5-4bf2-ab5b-70270ae40b2d%2F024fb3d8-e2f3-406d-93eb-aa087f123e3b%2Fssju8ng_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Matrix Addition Tutorial
When adding two 3x3 matrices, each element in the resulting matrix is the sum of corresponding elements from the two input matrices. Here’s how matrix addition works mathematically:
\[
\begin{pmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33} \\
\end{pmatrix}
+
\begin{pmatrix}
b_{11} & b_{12} & b_{13} \\
b_{21} & b_{22} & b_{23} \\
b_{31} & b_{32} & b_{33} \\
\end{pmatrix}
=
\begin{pmatrix}
a_{11} + b_{11} & a_{12} + b_{12} & a_{13} + b_{13} \\
a_{21} + b_{21} & a_{22} + b_{22} & a_{23} + b_{23} \\
a_{31} + b_{31} & a_{32} + b_{32} & a_{33} + b_{33} \\
\end{pmatrix}
\]
#### Program Prompt
Write a test program that prompts the user to enter two 3x3 matrices and displays their sum. Here is a sample run of the program:
```plaintext
Enter matrix1: 1 2 3 4 5 6 7 8 9
Enter matrix2: 0 2 4 1.4 5 2.2 1.1 4.3 5.2
```
#### Sample Calculation
The matrices are added as follows:
\[
\begin{aligned}
&\begin{array}{ccc}
1.0 & 2.0 & 3.0 \\
4.0 & 5.0 & 6.0 \\
11.0 & 8.0 & 11.0 \\
\end{array}
+
\begin{array}{ccc}
0.0 & 2.0 & 4.0 \\
1.0 & 4.5 & 2.2 \\
1.1 & 4.3 & 5.2 \\
\end{array
Transcribed Image Text:### 11.5 (Algebra: add two matrices)
**Objective:**
Learn how to write a function to add two matrices.
**Function Header:**
```python
def addMatrix(a, b):
```
**Explanation:**
To successfully add two matrices, they must share identical dimensions and contain compatible types of elements. Denote the resulting matrix as \( c \). The formula for each element in the resulting matrix is \( c_{ij} = a_{ij} + b_{ij} \).
**Example:**
Consider two 3 x 3 matrices, \( a \) and \( b \). The result, matrix \( c \), is computed by adding the corresponding elements of \( a \) and \( b \).
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