MathAlgebraLinear algebraMatrices

Matrix inverse properties

Properties

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Match equivalent expressions, where $X$ and $Y$ are invertible matrices, $z$ is a non-zero number.

Match the items from left and right columns

Y^{-1}\times X^{-1}

\det{X^{-1}}

\frac{X^{-1}}{z}

(X^{T})^{-1}

X

\frac{1}{\det{X}}

(X\times Y)^{-1}

(X^{-1})^{T}

(X^{-1})^{-1}

(z\times X)^{-1}

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