Matrix Solution Calculator

How to Use the Matrix Solution Calculator

This step-by-step guide will help you use the Matrix Solution Calculator to perform various matrix operations effectively.

Step 1: Input Specifications

Start by filling out the input fields according to your requirements:

• Number of Rows: Enter the number of rows for your matrix. The value should be between 2 and 5, inclusive.
• Number of Columns: Enter the number of columns for your matrix. The value should be between 2 and 5, inclusive.
• Matrix Operation: Select the desired operation you want to perform on the matrix from the dropdown menu. The available options are:
  • Matrix Addition
  • Matrix Subtraction
  • Matrix Multiplication
  • Matrix Determinant
  • Matrix Inverse
  • Matrix Transpose

Step 2: Perform the Calculation

After entering the required inputs, execute the operation to see the result. Depending on the operation selected, different calculation logic will be applied:

• Determinant: Calculated using det(matrix1).
• Inverse: Calculated using inv(matrix1).
• Matrix Addition: Calculated using add(matrix1, matrix2).
• Matrix Subtraction: Calculated using subtract(matrix1, matrix2).
• Matrix Multiplication: Calculated using multiply(matrix1, matrix2).
• Transpose: Calculated using transpose(matrix1).

Step 3: View the Results

Once the calculation completes, you will find the results displayed. The results are formatted to maintain a consistent structure and include:

• Determinant Result: Displayed up to four decimal places.
• Inverse Matrix Result: Displayed up to four decimal places.
• Matrix Addition Result: Displayed up to four decimal places.
• Matrix Subtraction Result: Displayed up to four decimal places.
• Matrix Multiplication Result: Displayed up to four decimal places.
• Matrix Transpose Result: Displayed up to four decimal places.
• Matrix Rank: Displayed as an integer.
• Eigenvalues: Displayed up to four decimal places.

Using this guide, you can perform complex matrix operations with ease and accuracy.