Matrix Inverse

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What is the inverse of the 2×2 identity matrix?

A.The identity matrix itself

B.The zero matrix

C.A matrix of all ones

D.It has no inverse

Find the inverse $A^{-1}$ of $A = \begin{pmatrix} 3 & 1 \\ 4 & 1 \end{pmatrix}$ .

\begin{pmatrix} 3 & -1 \\ -4 & 1 \end{pmatrix}

\begin{pmatrix} 3 & 4 \\ 1 & 1 \end{pmatrix}

\begin{pmatrix} -1 & 1 \\ 4 & -3 \end{pmatrix}

\begin{pmatrix} 1 & -1 \\ -4 & 3 \end{pmatrix}

Find the inverse $A^{-1}$ of $A = \begin{pmatrix} 1 & -1 \\ -2 & 3 \end{pmatrix}$ .

\begin{pmatrix} -3 & -1 \\ -2 & -1 \end{pmatrix}

\begin{pmatrix} 1 & -2 \\ -1 & 3 \end{pmatrix}

\begin{pmatrix} 1 & 1 \\ 2 & 3 \end{pmatrix}

\begin{pmatrix} 3 & 1 \\ 2 & 1 \end{pmatrix}

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