Matrix/2x2/Invers/1/Exercise

Let

${}M={\begin{pmatrix}11&-20\\6&-11\end{pmatrix}}\,.$

a) Show

${}M^{2}=E_{2}\,.$

b) Determine the inverse matrix of ${}M$.

c) Solve the equation

${}M{\begin{pmatrix}x\\y\end{pmatrix}}={\begin{pmatrix}4\\-9\end{pmatrix}}\,.$

Create a solution