[Tex/LaTex] Matrices with same height

matrices

I want to write a matrix equation and my current code is following:

\documentclass[12pt,a4paper]{report}
\usepackage{amsmath}

\begin{document}
\begin{equation}
    \begin{pmatrix}
      1         & 0         & 0         & \cdots    & \cdots    & 0 \\
      \mu       & \lambda   & \nu       & \ddots    &           & \vdots \\
      0         & \mu       & \lambda   & \nu       & \ddots    & \vdots \\
      \vdots    & \ddots    & \ddots    & \ddots    & \ddots    & 0      \\
      \vdots    &           & 0         & \mu       & \lambda   & \nu    \\
      0         & \cdots    & \cdots    & 0         & -1/h      & 1/h    \\
    \end{pmatrix}
    \cdot
    \begin{pmatrix}
      T^{(j+1)}(0) \\
      T^{(j+1)}(h) \\
      \vdots     \\
      \vdots     \\
      \vdots     \\
      T^{(j+1)}(N\cdot h)
    \end{pmatrix}
    =
    \begin{pmatrix}
      T(0) \\
      f(h) \\
      f(2h)  \\
      \vdots     \\
      f((N-1)\cdot h)    \\
      blabla
    \end{pmatrix}
\end{equation}

\end{document}

however, the resulting matrices have slightly different heights. How do I set them to be the same? Result is in the attached picture:enter image description here

Best Answer

I think the easiest solution, i.e., the one that requires the least amount of additional typing, involves increasing the value of \arraystretch. Its default value is 1.0; increasing it to about 1.8 at the start of the equation environment should do the job.

enter image description here

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{equation}\label{eq:xyz}
\renewcommand\arraystretch{1.8}  % default value: 1.0
    \begin{pmatrix}
      1         & 0         & 0         & \cdots    & \cdots    & 0 \\
      \mu       & \lambda   & \nu       & \ddots    &           & \vdots \\
      0         & \mu       & \lambda   & \nu       & \ddots    & \vdots \\
      \vdots    & \ddots    & \ddots    & \ddots    & \ddots    & 0      \\
      \vdots    &           & 0         & \mu       & \lambda   & \nu    \\
      0         & \cdots    & \cdots    & 0         & -1/h      & 1/h    \\
    \end{pmatrix}
    \cdot
    \begin{pmatrix}
      T^{(j+1)}(0) \\
      T^{(j+1)}(h) \\
      \vdots     \\
      \vdots     \\
      \vdots     \\
      T^{(j+1)}(N h)
    \end{pmatrix}
    =
    \begin{pmatrix}
      T(0) \\
      f(h) \\
      f(2h)  \\
      \vdots     \\
      f((N-1) h)    \\
      \text{blabla}
    \end{pmatrix}
\end{equation}  
\end{document}
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