## Matrix-Vector Multiplication

**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.

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