Inverse Matrix Calculator
Matrices are array of numbers or values represented in rows and columns. Inverse of a matrix A is the reverse of it, represented as A-1. Matrices, when multiplied by its inverse will give a resultant identity matrix. 3x3 identity matrices involves 3 rows and 3 columns. In the below Inverse Matrix calculator, enter the values for Matrix (A) and click calculate and calculator will provide you the Adjoint (adj A), Determinant (|A|) and Inverse of a 3x3 Matrix.
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Example:
If the Matrix A is,
Inverse Matrix is,
A-1 = 1 / det (A) [adj (A)]
Step 1 :
Cofactor of each element
Cofactor Matrix :
Step 2 :
Adj(A) is Transpose of Cofactor Matrix :
Step 3 :
A -1 = 1 / det (A) {
}
Step 4 :
det (A) = [1 (4-4) ] - [2(8-5)] + [3(16-10)]
= [0 - 6 + 18] = 12
Hence, Inverse of a 3x3 Matrix is
A-1 = 1 / 12 {
}
