14.13 LAB: Matrix multiplication (2D arrays) A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns. Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. Ex: If the input is: 2 23 12 34 A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3*3), and the second element of C is (2*2)+(3*4). The program output is: 11 16 Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array.
14.13 LAB: Matrix multiplication (2D arrays) A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns. Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. Ex: If the input is: 2 23 12 34 A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3*3), and the second element of C is (2*2)+(3*4). The program output is: 11 16 Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array.
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In c++ using the given code
![**Matrix Multiplication (2D Arrays) - Educational Example**
**Example:**
If the input is:
```
2
3
2
1
3
4
```
Matrix A contains 2 and 3. The first row of Matrix B contains 1 and 2, and the second row of Matrix B contains 3 and 4. The first element of Matrix C is calculated as (2 * 1) + (3 * 3), and the second element of Matrix C is (2 * 2) + (3 * 4). The program output is:
```
11 16
```
**Note:** Store matrices A and C in one-dimensional arrays, and Matrix B in a two-dimensional array.
---
**Lab Activity: 14.13.1: LAB: Matrix Multiplication (2D Arrays)**
**main.cpp Code:**
```cpp
#include <iostream>
using namespace std;
int main() {
int n;
cin >> n;
int matrixA[n]; // Matrix A
int matrixB[n][n]; // Matrix B
int matrixC[n]; // Matrix C
/* Type your code here. */
return 0;
}
```
**Instructions:**
- **Develop mode**: You can type and test your code as needed before submitting for grading.
- **Submit mode**: Once you're satisfied with your solution, click on `Submit` to check your answers.
Below the code snippet, you have options to enter inputs for testing the code:
1. Enter your input values in the first box.
2. Click on `Run program` to execute your script and observe the results in the second box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda17b6d9-f7ff-4a56-9763-458bee0c35b1%2F7a597060-675f-4bd9-a05e-e5299aaa032b%2Folfpsdo_processed.png&w=3840&q=75)
Transcribed Image Text:**Matrix Multiplication (2D Arrays) - Educational Example**
**Example:**
If the input is:
```
2
3
2
1
3
4
```
Matrix A contains 2 and 3. The first row of Matrix B contains 1 and 2, and the second row of Matrix B contains 3 and 4. The first element of Matrix C is calculated as (2 * 1) + (3 * 3), and the second element of Matrix C is (2 * 2) + (3 * 4). The program output is:
```
11 16
```
**Note:** Store matrices A and C in one-dimensional arrays, and Matrix B in a two-dimensional array.
---
**Lab Activity: 14.13.1: LAB: Matrix Multiplication (2D Arrays)**
**main.cpp Code:**
```cpp
#include <iostream>
using namespace std;
int main() {
int n;
cin >> n;
int matrixA[n]; // Matrix A
int matrixB[n][n]; // Matrix B
int matrixC[n]; // Matrix C
/* Type your code here. */
return 0;
}
```
**Instructions:**
- **Develop mode**: You can type and test your code as needed before submitting for grading.
- **Submit mode**: Once you're satisfied with your solution, click on `Submit` to check your answers.
Below the code snippet, you have options to enter inputs for testing the code:
1. Enter your input values in the first box.
2. Click on `Run program` to execute your script and observe the results in the second box.
Transcribed Image Text:14.13 LAB: Matrix multiplication (2D arrays)
A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns.
Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C, multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication.
Write a program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2.
For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline.
Ex: If the input is:
```
2
2 3
1 2
3 4
```
A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3 * 3), and the second element of C is (2 * 2) + (3 * 4). The program output is:
```
11 16
```
Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array.
Image description: A code editor interface with syntax highlighting is shown, displaying a sample C++ program for the described lab problem.
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