I want to create something like this in MS Word by MathType 6.9

The code that I'm using is:
\documentclass[a4paper]{book}
\usepackage{geometry}
\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{aligned}[t]
& \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{aligned}
\end{align}
\end{document}
It's perfect when used in LaTeX and gives the following pdf result:

but unfortunately when I try to copy and paste the code between \begin{document} and \end{document} in MathType to create the same expression in word, I get the result:

It seems that MathType doesn't parse the codes \begin{aligned}[t] and \end{aligned} and as you know these are just amsmath packages code.
Do you know of any way -modifying the code or mathtype settings- to solve this problem?
Or do you have another suggestion to embed Latex equation into MS Word 2010?
Here is a toned-down version of your construction that doesn't use
aligned:It's not possible to test this without access to MathType. So, while the above doesn't use
aligned, you may have to remove some commands that are unknown to MathType.