2.3 Solve Linear Simultaneous Equations by Using Matrices 用矩阵解线性方程式 - 独中课程 | 线上补习

高二数学 | 高级数学

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2.3 Solve Linear Simultaneous Equations by Using Matrices 用矩阵解线性方程式

[1]

Solve the following simultaneous equation by using the method of matrix.

用矩阵的方法解下列各联立方程组

[a] $\begin{cases}4x+5y=-7\\3x-2y=12\end{cases}$

[b] $\begin{cases}3x-5y-4=0\\7x+y-3=0\end{cases}$

[c] $\begin{cases}y=4x-3\\12x+7y=9\end{cases}$

(a) x = 2, y = –3

(b) x = $\frac{1}{2}$ , y = $-\frac{1}{2}$

[2]

Solve the following simultaneous equations by Gauss-Jordan Elimination method

用高斯消元法解下列各联立方程组。

(a) (5, 1, 3)

(b) (1, -2, 3)