MINVERSE Google Sheet Formula

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MINVERSE Formula Syntax

=MINVERSE(A1:B2)

Example Use Case

Finding the inverse of a matrix for solving linear equations

Understanding the MINVERSE Formula

The MINVERSE function in Excel calculates the inverse of a square matrix, a critical operation in linear algebra. The inverse, when multiplied by the original matrix, yields the identity matrix—key for solving systems of equations or reversing transformations.

For [[1, 2], [3, 4]], MINVERSE returns a 2x2 array (use Ctrl+Shift+Enter for older Excel versions). It requires a non-singular matrix (determinant ≠ 0), making it a powerful tool for matrix-based problem-solving.

Why Use MINVERSE?

MINVERSE unlocks solutions in engineering, economics, or data analysis—think circuit design or regression models. It automates matrix inversion, saving time and effort for tasks needing reverse mappings or variable isolation.

Example with Sample Data

Matrix	Formula	Result
[[1, 2], [3, 4]]	=MINVERSE(A1:B2)	[[-2, 1], [1.5, -0.5]]
[[4, 0], [0, 2]]	=MINVERSE(A1:B2)	[[0.25, 0], [0, 0.5]]
[[2, 1], [4, 2]]	=MINVERSE(A1:B2)	#NUM! (singular)

MINVERSE flips matrices: [[1, 2], [3, 4]] inverts cleanly, singular ones error out. It’s an algebra ace.