Manuals/calci/MATRIXINVERSE

MATRIXINVERSE (a)

• $a$ is any matrix.

Description

• This function shows the inverse value of the given matrix.
• In $MATRIXINVERSE(a)$, $a$ is any square matrix.
• Inverse of a square matrix is also called reciprocal of a matrix and it is denoted by $A^{-}1$.
• Consider the square matrix A has an inverse which should satisfies the following condition $|A|\neq 0$
• Also $AA^{-1}=I$(Identity matrix).
• Consider 2x2 matrix:A=[a b;c d].
• The inverse of matrix A is calculated by

$A^{-1}={\begin{bmatrix}a&b\\c&d\end{bmatrix}}^{-1}$=$1/detA{\begin{bmatrix}d&-b\\-c&a\end{bmatrix}}$ =$1/ad-bc{\begin{bmatrix}d&-b\\-c&a\end{bmatrix}}$