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:
- Specify the square matrix:
- Example 1:
=MDETERM(A1:C3)calculates the determinant of the square matrix in the rangeA1:C3. - Example 2:
=MDETERM({1, 2, 3; 4, 5, 6; 7, 8, 9})calculates the determinant of the specified square matrix array.
- Example 1:
Use Cases and Scenarios
Here are some common use cases where the MDETERM function can be applied:
- Linear Algebra: Calculate matrix determinants for solving linear equations.
- Eigenvalues and Eigenvectors: Calculate determinants to find eigenvalues and eigenvectors of matrices.
- Cramer's Rule: Use matrix determinants to solve systems of linear equations using Cramer's rule.
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