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Matrix Inverse

Calculate the inverse of a square (n x n) matrix.

The inverse of the matrix is calculated using the Crout or Chelenski factorials such that

`M^-1 · M = I `
`M · M^-1 = I `

where :

I = the identity matrix

Enter each matrix row as a comma separated list, with a new line for each row. Matrices must have an equal number of elements in each row. The number of rows in the matrix must be equal to the number of columns. The matrix equations must be independent (ie well conditioned - determinant not equal to zero). If the matrix determinant equals zero, the inverse is indeterminant.

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Links : ±
CALCULATOR : Matrix Inverse [FREE]   ±

Calculate the matrix inverse of a square n x n matrix.

The inverse can be calculated from either the matrix or the transpose of the matrix. The number of matrix columns must be equal to the number of matrix rows. The cross product of the matrix and the matrix inverse is the identity matrix. The check matrix should be equal to the identity matrix. The matrix values must be independent for a solution (the matrix determinant must be non zero).

Tool Input

  • rndtype : Rounding Type For Small Values
  • matype : Matrix Operation Type
  • M : Input Matrix

Tool Output

  • |M| : Check Determinant (!= 0)

CALCULATOR : Matrix Inverse (File Data - Modern Browser Required) [FREE]   ±

Calculate the matrix inverse of a square n x n matrix from file data.

The inverse can be calculated from either the matrix or the transpose of the matrix. The number of matrix columns must be equal to the number of matrix rows. The cross product of the matrix and the matrix inverse is the identity matrix. The check matrix should be equal to the identity matrix. The matrix values must be independent for a solution (the matrix determinant must be non zero).

Save the matrix to a text file as tab or comma separated rows with each row on a new line (or copy and past cells from a spreadsheet). Refer to the example text file in resources.

Tool Input

  • rndtype : Rounding Type For Small Values
  • matype : Matrix Operation Type
  • A : Input Matrix

Tool Output

  • |M| : Check Determinant (!= 0)