Row Space Calculator | Efficient Linear Algebra Tool

This tool will calculate the amount of space needed between rows to achieve a uniform layout.

How to Use the Row Space Calculator

To use the Row Space calculator, enter a matrix in the following format: the rows should be separated by semicolons, and the elements within a row should be separated by commas. For example, to enter the matrix:

1, 2, 3
4, 5, 6
7, 8, 9

you should input:

1,2,3;4,5,6;7,8,9

After entering the matrix, click the “Calculate” button to determine the row space of the given matrix.

How It Calculates the Row Space

The row space calculator reduces the given matrix to its row echelon form using Gaussian elimination. The number of non-zero rows in the row echelon form is the row space of the matrix.

Limitations

This calculator has some limitations:

  • The input should be a well-formed matrix with equal numbers of elements in each row.
  • Large matrices or those with excessive decimal places may lead to HTML input size and JavaScript computational limitations.