Inverse Matrix (3-Dimensional)

Calculate the inverse of a 3x3 matrix using LU decomposition.

\(\normalsize A={\left[\begin{array}\\ a_{\small 11}& a_{\small 12}& a_{\small 13}\\ a_{\small 21}& a_{\small 22}& a_{\small 23}\\a_{\small 31}& a_{\small 32}& a_{\small 33}\\\end{array}\right]}\hspace{20px}A A^{\small -1} =A^{\small -1}A=I\\ \)

_{(Click on each cell in the matrix to enter values)}

Matrix A
{aij}

_i＼^j	1	2	3
1
2
3

The inverse matrix ^A⁻¹ is calculated from the LU decomposition of matrix A using partial pivoting.

\(\normalsize AA^{\small -1} =LUA^{\small -1}=I\\ A^{\small -1}=U^{\small -1}(L^{\small -1}I)\\\)

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