$$$\left[\begin{array}{c}\sin{\left(x \right)}\\\cos{\left(x \right)}\end{array}\right]$$$ 的行最简形
相关计算器: 高斯-约当消元法计算器, 矩阵求逆计算器
您的输入
求$$$\left[\begin{array}{c}\sin{\left(x \right)}\\\cos{\left(x \right)}\end{array}\right]$$$的最简行阶梯形。
解答
将第$$$1$$$行除以$$$\sin{\left(x \right)}$$$：$$$R_{1} = \frac{R_{1}}{\sin{\left(x \right)}}$$$。
$$$\left[\begin{array}{c}1\\\cos{\left(x \right)}\end{array}\right]$$$
从第$$$2$$$行中减去第$$$1$$$行的$$$\cos{\left(x \right)}$$$倍：$$$R_{2} = R_{2} - \cos{\left(x \right)} R_{1}$$$。
$$$\left[\begin{array}{c}1\\0\end{array}\right]$$$
答案
最简行阶梯形为 $$$\left[\begin{array}{c}1\\0\end{array}\right]$$$A。