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1. Find Inverse of matrix A
A =
OR A =
 

2. Solve Simultaneous Equations
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SolutionHelp1.1 Inverse1.2 Inverse Guess Elimination2.1 Inverse Matrix2.2 Cramer's Rule2.3 Gauss Elimination2.4 Gauss Sield
1. Find Inverse of matrix using Gauss Elimination method
1. Find Inverse of matrix using Gauss Elimination method

Given matrix is
`[[1,2,3],[0,1,0],[2,3,1]]`

Now finding inverse of the given matrix
`[[1,2,3,|,1,0,0],[0,1,0,|,0,1,0],[2,3,1,|,0,0,1]]`

`R_3 larr R_3 - 2 * R_1`

`[[1,2,3,|,1,0,0],[0,1,0,|,0,1,0],[0,-1,-5,|,-2,0,1]]`

`R_1 larr R_1 - 2 * R_2`

`[[1,0,3,|,1,-2,0],[0,1,0,|,0,1,0],[0,-1,-5,|,-2,0,1]]`

`R_3 larr R_3 + 1 * R_2`

`[[1,0,3,|,1,-2,0],[0,1,0,|,0,1,0],[0,0,-5,|,-2,1,1]]`

Dividing `R_3` by `-5`

`[[1,0,3,|,1,-2,0],[0,1,0,|,0,1,0],[0,0,1,|,2/5,-1/5,-1/5]]`

`R_1 larr R_1 - 3 * R_3`

`[[1,0,0,|,-1/5,-7/5,3/5],[0,1,0,|,0,1,0],[0,0,1,|,2/5,-1/5,-1/5]]`

Solution By Gauss Elimination Method.
`[[-1/5,-7/5,3/5],[0,1,0],[2/5,-1/5,-1/5]]`

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