Matrices Calculator

The Matrices Calculator allows users to perform matrix operations such as addition, subtraction, multiplication, determinant calculation, and transposition on matrices with configurable dimensions up to 5×5, while assessing dimension compatibility and providing result matrix dimensions.

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How to Use the Matrices Calculator

The Matrices Calculator is a tool designed to help you perform matrix-based calculations including addition, subtraction, multiplication, finding determinants, and transposing matrices. Follow these steps to use it effectively:

Step 1: Input Matrix Dimensions

  • Matrix A Rows: Enter the number of rows for Matrix A. The value should be between 1 and 5.
  • Matrix A Columns: Enter the number of columns for Matrix A. Make sure the input is between 1 and 5.
  • Matrix B Rows: Specify the number of rows for Matrix B. It should also be in the range from 1 to 5.
  • Matrix B Columns: Specify the number of columns for Matrix B, ensuring it falls between 1 and 5.

All input fields are required, and you must enter integer values that adhere to the specified constraints.

Step 2: Select the Operation

  • Choose the desired operation from the dropdown menu:
    • Addition (A + B) – Adds corresponding elements of Matrix A and Matrix B.
    • Subtraction (A – B) – Subtracts elements of Matrix B from Matrix A.
    • Multiplication (A × B) – Performs matrix multiplication of A and B.
    • Determinant of A – Finds the determinant of Matrix A if it is square.
    • Determinant of B – Finds the determinant of Matrix B if it is square.
    • Transpose of A – Computes the transpose of Matrix A.
    • Transpose of B – Computes the transpose of Matrix B.

This field is mandatory, so make sure to select one of the available operations.

Step 3: Interpreting the Results

  • Dimension Compatibility: This field checks if the chosen operation is valid based on the matrix dimensions you provided.
  • Result Matrix Rows: Indicates the number of rows in the resultant matrix for operations such as multiplication.
  • Result Matrix Columns: Displays the number of columns in the resultant matrix, particularly relevant for multiplication results.
  • Determinant Possible: This field informs whether it is possible to compute the determinant for the selected matrix.
  • Transpose Dimensions: Provides the dimensions of the transposed matrix in the format “rows × columns” if the transpose operation was chosen.

Use the results to verify the success and validity of the calculation according to the operation you selected.