题库网 (tiku.one)

 找回密码
 立即注册

手机扫一扫,访问本页面

开启左侧

 Systems of Equations (id: adb9f7d3a)

[复制链接]
admin 发表于 2024-6-4 15:49:47 | 显示全部楼层 |阅读模式
本题目来源于试卷:  Systems of Equations,类别为 IB数学

[问答题]
Consider three planesvcj 4 izpnt fi6*f;5/,zeqcy/ re7:awa j4odn0t wg3x)w-xk w9qpresented by the following system of equations:

$\begin{array}{c}
\Pi_{1}:-2 x+a y+4 z=2 \\
\Pi_{2}: x+b y-2 z=-1 \\
\Pi_{3}: 2 x-y+c z=3
\end{array}
$

Where $ a, b, c \in \mathbb{R}$.
1. State the values of a, b and c for which
1. The system has infinite solutions.
2. The system is inconsistent.
2. In the case where the system has infinite solutions, describe the geometric relationship between the three planes.
3. In the case where the system is inconsistent, identify one of the geometric relationships that could exist between the three planes.




参考答案:




本题详细解析:

微信扫一扫,分享更方便

帖子地址: 

回复

使用道具 举报

您需要登录后才可以回帖 登录 | 立即注册

本版积分规则

浏览记录|使用帮助|手机版|切到手机版|题库网 (https://tiku.one)

GMT+8, 2024-12-26 04:03 , Processed in 0.057762 second(s), 28 queries , Redis On.

搜索
快速回复 返回顶部 返回列表