Matrix Multiplication

Matrix(3*3) * Matrix(3*3)

 

---

---

---

---

---

Example

 

$$\begin{array}{}& K^2=\left[\begin{array}{ccc}0& -{\hat{n}}_z& {\hat{n}}_y\\ {\hat{n}}_z& 0& -{\hat{n}}_x\\ -{\hat{n}}_y& {\hat{n}}_x& 0\end{array}\right]\left[\begin{array}{ccc}0& -{\hat{n}}_z& {\hat{n}}_y\\ {\hat{n}}_z& 0& -{\hat{n}}_x\\ -{\hat{n}}_y& {\hat{n}}_x& 0\end{array}\right]=\left[\begin{array}{ccc}-{\hat{n}}_z^2-{\hat{n}}_y^2& {\hat{n}}_x{\hat{n}}_y& {\hat{n}}_z{\hat{n}}_x\\ {\hat{n}}_x{\hat{n}}_y& -{\hat{n}}_z^2-{\hat{n}}_x^2& {\hat{n}}_y{\hat{n}}_z\\ {\hat{n}}_x{\hat{n}}_z& {\hat{n}}_y{\hat{n}}_z& -{\hat{n}}_x^2-{\hat{n}}_y^2\end{array}\right]\end{array}$$