有限数学示例

$[\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 3 & - 4 \\ - 5 & 7 \end{array}] [\begin{array}{c} m \\ n \end{array}]$

解题步骤 1

乘以 $[\begin{array}{c} 3 & - 4 \\ - 5 & 7 \end{array}] [\begin{array}{c} m \\ n \end{array}]$ 。

点击获取更多步骤...

解题步骤 1.1

Two matrices can be multiplied if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix. In this case, the first matrix is $2 \times 2$ and the second matrix is $2 \times 1$ .

解题步骤 1.2

将第一个矩阵中的每一行乘以第二个矩阵中的每一列。

$[\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 3 m - 4 n \\ - 5 m + 7 n \end{array}]$

解题步骤 2

Write as a linear system of equations.

$x = 3 m - 4 n$

$y = - 5 m + 7 n$

解题步骤 3

简化系统。

$x = 3 m - 4 n, y = - 5 m + 7 n$

有限数学 示例

有限数学示例