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MDETERM

The MDETERM function in Google Sheets returns the matrix determinant of a square matrix specified as an array or range. It is a useful tool for performing calculations involving matrices. Learn how to use the MDETERM function effectively with our comprehensive guide.

Function Syntax and Parameters

Syntax: MDETERM(square_matrix)

Parameters:

  • square_matrix: The square matrix for which you want to calculate the determinant.

Step-by-Step Tutorial

To calculate the matrix determinant using the MDETERM function, follow these steps:

  1. Specify the square matrix:
    • Example 1: =MDETERM(A1:C3) calculates the determinant of the square matrix in the range A1:C3.
    • Example 2: =MDETERM({1, 2, 3; 4, 5, 6; 7, 8, 9}) calculates the determinant of the specified square matrix array.

Use Cases and Scenarios

Here are some common use cases where the MDETERM function can be applied:

  1. Linear Algebra: Calculate matrix determinants for solving linear equations.
  2. Eigenvalues and Eigenvectors: Calculate determinants to find eigenvalues and eigenvectors of matrices.
  3. Cramer's Rule: Use matrix determinants to solve systems of linear equations using Cramer's rule.

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