Matrix Product Calculator

The Matrix Product Calculator allows users to input two matrices, checks their compatibility for multiplication, and calculates the product if compatible, displaying the resultant matrix dimensions and values.

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How to Use the Matrix Product Calculator

The Matrix Product Calculator is a tool designed to help you calculate the product of two matrices. Follow these step-by-step instructions to use the calculator effectively.

Step 1: Enter Matrix 1 Dimensions

  • You will need to specify the number of rows and columns for your first matrix. These values will determine the structure of Matrix 1.
  • Locate the field labeled Matrix 1 Rows and enter a number between 1 and 10, which represents the number of rows.
  • Similarly, find the field labeled Matrix 1 Columns and input a number between 1 and 10 for the columns.

Step 2: Enter Matrix 2 Dimensions

  • Repeat the process for the second matrix by specifying its dimensions.
  • Enter a value for Matrix 2 Rows in the specified field, ensuring it matches the number of columns in Matrix 1 for compatibility (same range applies: 1 to 10).
  • Then, in the Matrix 2 Columns field, input a number within the 1 to 10 range.

Step 3: Input the Matrix Values

  • Provide the elements of Matrix 1 by filling in the Matrix 1 Values (comma-separated) field. Separate each value with a comma.
  • Similarly, enter the elements of Matrix 2 in the Matrix 2 Values (comma-separated) field. Ensure the total number of values matches the product of rows and columns for each respective matrix.

Step 4: Perform Compatibility Check

The calculator will automatically check the compatibility of the matrices for multiplication. It will display the result under the Matrices Compatibility Check section, indicating whether the matrices are Compatible or Incompatible. This checks if the number of columns in Matrix 1 equals the number of rows in Matrix 2.

Step 5: View Resulting Matrix Dimensions

If the matrices are compatible, the calculator will show the dimensions of the resulting matrix in the Result Matrix Dimensions section, indicating the number of rows from Matrix 1 and columns from Matrix 2.

Step 6: Calculate and View the Matrix Product

Finally, the calculator will compute the matrix product using the entered values and display the result in the Matrix Product Result section. Each element in the resulting matrix will be formatted to two decimal places for clarity.