Multiply a Matrix by a Vector

Matrix-Vector Multiplication

Enter Vector (comma-separated):

1. Introduction:

Welcome to the Multiply a Matrix by a Vector tool! This tool simplifies the process of multiplying a matrix by a vector. Whether you're a student studying linear algebra or a professional working with matrices and vectors, this tool makes matrix-vector multiplication hassle-free.

2. Steps to Use the Tool:

Enter the vector values separated by commas in the provided input field.
Click on the "Multiply Matrix by Vector" button.
View the original matrix and the result vector displayed below.

3. Functionality of the Tool: This tool allows you to input a vector and then multiplies it with a predefined matrix. The original matrix is displayed along with the result of the matrix-vector multiplication. The result vector is computed by taking the dot product of each row of the matrix with the vector.

4. Benefits of Using This Tool:

Efficiency: Perform matrix-vector multiplication quickly without manual calculations.
Accuracy: Avoid human errors associated with manual computation.
Educational: Great for learning and understanding matrix and vector operations.
Convenience: Accessible anytime, anywhere with an internet connection.
Customization: Modify the original matrix or input different vectors for various calculations.

5. FAQ:

Q: Can I input my own matrix instead of the predefined one?
- A: Yes, you can modify the originalMatrix array in the provided JavaScript code to input your own matrix.
Q: What if I want to multiply the matrix by a different vector?
- A: Simply enter the desired vector values separated by commas in the input field and click the "Multiply Matrix by Vector" button again.
Q: Is there a limit to the size of the matrix or vector I can use?
- A: This tool can handle matrices of various sizes and vectors of various lengths, but extremely large matrices or vectors may impact performance.