IB Mathematics Applications & Interpretation Question Type 5: Finding the Inverse of 2x2 Matrices Exercises

Find the inverse of $B=\left(\begin{array}{cc}2& 0\\ 0& 5\end{array}\right)$.

Find the inverse of $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$.

Find the inverse of $G=\left(\begin{array}{cc}\frac{1}{2}& \frac{1}{3}\\ \frac{1}{4}& \frac{1}{5}\end{array}\right)$.

Find the inverse of $K=\left(\begin{array}{cc}5& -1\\ -4& 2\end{array}\right)$.

Find the inverse of $C=\left(\begin{array}{cc}1& 1\\ 1& 2\end{array}\right)$.

Find the inverse of $M=\left(\begin{array}{cc}10& 15\\ 20& 25\end{array}\right)$.

Find the inverse of $J=\left(\begin{array}{cc}0& 1\\ -2& 3\end{array}\right)$.

Find the inverse of $D=\left(\begin{array}{cc}3& 5\\ 2& 7\end{array}\right)$.

Find the inverse of $F=\left(\begin{array}{cc}4& -3\\ 2& -5\end{array}\right)$.

Find the inverse of $H=\left(\begin{array}{cc}7& 2\\ 5& 3\end{array}\right)$.

Determine whether the inverse of $L=\left(\begin{array}{cc}2& 4\\ 1& 2\end{array}\right)$ exists. If it does, find it.

Find the inverse of $E=\left(\begin{array}{cc}-1& 2\\ 3& 4\end{array}\right)$.