Well, for a 2x2 matrix the inverse is: In other words: swap the positions of a and d, put negatives in front of b and c, and divide everything by ad−bc . Note: ad−bc is called the determinant. Let …

Nov 20, 2025 · The inverse of a matrix is obtained by dividing the adjugate (also called adjoint) of the given matrix by the determinant of the given matrix. The inverse matrix has the following …

In this article, you will learn what a matrix inverse is, how to find the inverse of a matrix using different methods, properties of inverse matrix and examples in detail.

We explain how to find the inverse of a 2x2 matrix and the inverse of a 3x3 matrix (formulas). With examples and the properties of the inverse matrix.

The inverse of matrix A can be computed using the inverse of matrix formula, A -1 = (adj A)/ (det A). i.e., by dividing the adjoint of a matrix by the determinant of the matrix.

May 16, 2025 · Learn how to find the inverse of a matrix using cofactors, transpose, and determinant, with clear steps and examples.

Free online Inverse Matrix Calculator computes the inverse of a 2x2, 3x3 or higher-order square matrix. Also, eigenvalues, diagonalization, other properties of matrices.

You can use the inverse of A, written as A−1 and pronounced " A inverse", to cancel off the A from the matrix equation; this then allows you then to solve the matrix equation for X.

Jun 21, 2025 · Learn how to find the Inverse of a Matrix with our step-by-step guide. Master matrix inversion methods, including Gauss-Jordan elimination and the adjoint method, with clear …

Sep 1, 2025 · We’ve put together a step-by-step guide to calculating the inverse of a 3x3 matrix by hand, using determinants and linear row reduction. Then, we’ll even teach you how to find …