Matrices with same height in keynote

Question

I am trying to write some matrices with latex in Keynote and I cant make them the same height. There are some answers to this problem but can't make them work in Keynote.

The equation looks like this:

 \begin{pmatrix}
 X'\hat R^{-1}X & X'\hat R^{-1}Z_1 & X'\hat R^{-1}Z_2 & X'\hat R^{-1}Z_3 \\
 Z'_1\hat R^{-1}X & Z'_1\hat R^{-1}Z_1 + G^{-1}_1& Z'_1\hat R^{-1}Z_2 & Z'_1\hat R^{-1}Z_3 \\
 Z'_2\hat R^{-1}X & Z'_2\hat R^{-1}Z_1 & Z'_2\hat R^{-1}Z_2 + G^{-1}_2& Z'_2\hat R^{-1}Z_3 \\
 Z'_3\hat R^{-1}X & Z'_3\hat R^{-1}Z_1 & Z'_3\hat R^{-1}Z_2 & Z'_3\hat R^{-1}Z_3 + G^{-1}_3
 \end{pmatrix} 
 \begin{pmatrix}
 \alpha \\ 
 \gamma \\ 
 \delta \\ 
 \epsilon 
 \end{pmatrix} 
 =  
 \begin{pmatrix}
 X'\hat R^{-1}y \\
 Z'_1\hat R^{-1}y \\
 Z'_2\hat R^{-1}y \\
 Z'_3\hat R^{-1}y
 \end{pmatrix}

And I get:

Answer 1

As Keynote.app uses a limited set of LaTeX commands (see this page), we cannot have a perfect result. In particular, there's not a \vphantom command available. But with \phantom{\hat{I}_{.}} before \alpha etc., we obtain a not so bad result.

\begin{pmatrix}
 X'\hat R^{-1}X & X'\hat R^{-1}Z_1 & X'\hat R^{-1}Z_2 & X'\hat R^{-1}Z_3 \\
 Z'_1\hat R^{-1}X & Z'_1\hat R^{-1}Z_1 + G^{-1}_1& Z'_1\hat R^{-1}Z_2 & Z'_1\hat R^{-1}Z_3 \\
 Z'_2\hat R^{-1}X & Z'_2\hat R^{-1}Z_1 & Z'_2\hat R^{-1}Z_2 + G^{-1}_2& Z'_2\hat R^{-1}Z_3 \\
 Z'_3\hat R^{-1}X & Z'_3\hat R^{-1}Z_1 & Z'_3\hat R^{-1}Z_2 & Z'_3\hat R^{-1}Z_3 + G^{-1}_3
 \end{pmatrix} 
 \begin{pmatrix}
 \phantom{\hat{I}_{.}}\alpha \\ 
 \phantom{\hat{I}_{.}}\gamma \\ 
 \phantom{\hat{I}_{.}}\delta \\ 
 \phantom{\hat{I}_{.}}\epsilon 
 \end{pmatrix} 
 =  
 \begin{pmatrix}
 X'\hat R^{-1}y \\
 Z'_1\hat R^{-1}y \\
 Z'_2\hat R^{-1}y \\
 Z'_3\hat R^{-1}y
 \end{pmatrix}

For better result, and true LaTeX output, I suggest the use of the app LaTeXit, which is installed by a default MacTeX distribution. With this app, you can export transparent vectoriel images of equations to Keynote.app, and modify it later if needed.

Answer 2

(It's been pointed out that this solution cannot work with Keynote, since that app knows only a rather limited subset of TeX and LaTeX commands. In particular, \vphantom isn't understood by Keynote. I've decided not to delete this answer, though, as it might come in handy some day for some readers not tied to Keynote.)

You could insert suitably defined typographic struts in each element of the "short" vector.

\documentclass{article}
\usepackage{amsmath} % for 'pmatrix' environment
\newcommand\mystrut{\vphantom{Z'_3\hR}} 
\newcommand\hR{\hat{R}^{-1}} % handy shortcut macro
\begin{document}
\[
\begin{pmatrix}
 X'\hR X & X'\hR Z_1 & X'\hR & X'\hR Z_3 \\
 Z'_1\hR X & Z'_1\hR Z_1 + G^{-1}_1& Z'_1\hR Z_2 & Z'_1\hR Z_3 \\
 Z'_2\hR X & Z'_2\hR Z_1 & Z'_2\hR Z_2 + G^{-1}_2& Z'_2\hR Z_3 \\
 Z'_3\hR X & Z'_3\hR Z_1 & Z'_3\hR Z_2 & Z'_3\hR Z_3 + G^{-1}_3
\end{pmatrix} 
\begin{pmatrix}
 \alpha\mystrut \\ 
 \gamma\mystrut \\ 
 \delta\mystrut \\ 
 \epsilon\mystrut 
\end{pmatrix} 
=  
\begin{pmatrix}
 X'\hR y   \\
 Z'_1\hR y \\
 Z'_2\hR y \\
 Z'_3\hR y
\end{pmatrix}
\]
\end{document}