I want to create something like this in word by MathType 6.9

But I have MikTex 2.9 and texmaker installed on my computer. Just to try out the code and see what is wrong with that, I've created the following document in LaTeX.
\documentclass[a4paper]{book}
\usepackage{amsmath}
\begin{document}
\begin{align}
T_4 &= \langle \underline{k}\,.\,\underline{k}^{*^T} \rangle=
\left\langle
\begin{bmatrix}
\left|k_1\right|^2 & k_1k_2^* & k_1k_3^* & k_1k_4^*\\
k_2k_1^* & \left|k_2\right|^2 & k_2k_3^* & k_2k_4^*\\
k_3k_1^* & k_3k_2^* & \left|k_3\right|^2 & k_3k_4^*\\
k_4k_1^* & k_4k_2^* & k_4k_3^* & \left|k_4\right|^2
\end{bmatrix}
\right\rangle
\\
&=\frac{1}{2}
\begin{split}
\left[\begin{matrix}
\langle|S_{XX}+S_{YY}|^2\rangle &
\langle(S_{XX}+S_{YY})(S_{XX}-S_{YY})^*\rangle &\\
\langle(S_{XX}-S_{YY})(S_{XX}+S_{YY})^*\rangle &
\langle|S_{XX}-S_{YY}|^2\rangle & \cdots\cdots\\
\langle(S_{XY}+S_{YX})(S_{XX}+S_{YY})^*\rangle&
\langle(S_{XY}+S_{YX})(S_{XX}-S_{YY})^*\rangle & \cdots\cdots\\
\langle j(S_{XY}-S_{YX})(S_{XX}+S_{YY})^*\rangle &
\langle j(S_{XY}-S_{YX})(S_{XX}-S_{YY})^*\rangle &
\end{matrix}\right.\\
\left.\begin{matrix}
& \langle(S_{XX}+S_{YY})(S_{XY}+S_{YX})^*\rangle
& \langle -j(S_{XX}+S_{YY})(S_{XY}-S_{YX})^*\rangle\\
\cdots\cdots& \langle(S_{XX}-S_{YY})(S_{XY}+S_{YX})^*\rangle
& \langle -j(S_{XX}-S_{YY})(S_{XY}-S_{YX})^*\rangle\\
\cdots\cdots& \langle|S_{XY}+S_{YX}|^2\rangle
& \langle-j(S_{XY}+S_{YX})(S_{XY}-S_{YX})^*\rangle\\
& \langle j(S_{XY}-S_{YX})(S_{XY}+S_{YX})^*\rangle
& \langle|S_{XY}-S_{YX}|^2\rangle
\end{matrix}\right]
\end{split}
\end{align}
\end{document}
But there's a warning Overfull \hbox (213.43704pt too wide) in paragraph at lines 39--39.
Line 39 is \end{align}
and the created pdf is like this:

I also deleted the document parts and tried out the code from begin{align} to end{aline} in MathType 6.9 but there it is like this:
It seems that begin{split} and end{split} is making something wrong!!!
What should I do?



multlineexist in MathType? If so, try replacingalignwithmultline, and remove\begin{split}and\end{split}. – Torbjørn T. Aug 10 '15 at 08:18