Select the number of equations in the matrix and enter the matrix values. Hit the Calculate button to calculate the inverse of a matrix using the calculator below.
Inverse matrix calculator is an online tool that finds the inverse of a matrix for given values of a matrix. It can calculate the inverse of 2x2, 3x3, 4x4, and 5x5 matrices.
Let’s find out how to calculate inverse of matrix without using matrix inverse calculator.
Inverse of matrix can be calculated using above calculator, but, here we will take the inverse manually.
Find the inverse of the following matrix A.
Step 1: Augment the matrix with identity matrix.
Step 2: Make zeros in column 1 except the entry at row 1, column 1 (pivot entry).
Divide row 1 by 5 (R1/5)
R2 => R2 - 15R1
R3 => R3 - 10R1
Step 3: Make zeros in column 2 except the entry at row 2, column 2.
Divide row 2 by -25 (R2/-25)
R1 => R1 - 2R2
R3 => R3 - 5R2
Step 4: Make zeros in column 3 except the entry at row 3, column 3 (pivot entry).
Divide row 3 by -20 (R3/-20)
R1 => R1 - 1R3
R2 => R2 - 1R3
The final A-1 can be written as,