方程组性态与条件数
\[E = mc^2
\]
\begin{equation}
e^{i\pi}+1 = 0
\end{equation}
\( E = mc^2 \)
\begin{cases} \dot{x}&=\mathbf{A}x+\mathbf{B}u\\ y&=\begin{bmatrix}1&0\\ 0&1\end{bmatrix}x+\begin{bmatrix}1&0\\ 0&1\end{bmatrix}u \end{cases}
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考虑线性方程组 |
E = mc^2
\[\boldsymbol{A{}x} = \boldsymbol{b},
\]
其中,\(\boldsymbol{A}\in \mathbb{R}^{n\times n}\) 非奇异,\(\boldsymbol{b}\in \mathbb{R}^{n}\), 且~\(\boldsymbol{b}\ne \boldsymbol{0}\).
\begin{equation*}E = mc^2 \end{equation*}
\begin{align}\notag \dot{x}&=\mathbf{A}x+\mathbf{B}u\\ y&=\begin{bmatrix}1&0\\ 0&1\end{bmatrix}x+\begin{bmatrix}1&0\\ 0&1\end{bmatrix}u \end{align}