Multiply a Vector by a Matrix

Vector-Matrix Multiplication

Enter Vector (comma-separated):

1. Introduction:

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

2. Steps to Use the Tool:

Enter the vector values separated by commas in the provided input field.
Click on the "Multiply Vector by Matrix" 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 vector-matrix multiplication. The result vector is computed by taking the dot product of the vector with each column of the matrix.

4. Benefits of Using This Tool:

Efficiency: Perform vector-matrix multiplication quickly without manual calculations.
Accuracy: Avoid human errors associated with manual computation.
Educational: Great for learning and understanding vector and matrix 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 a different vector by the matrix?
- A: Simply enter the desired vector values separated by commas in the input field and click the "Multiply Vector by Matrix" 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.