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2.1矩阵的性质

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1 1 b 2 3.

问题1

分数:2

M=2a41-1-1-12-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="加粗斜体M等于开括号表第2行a 4行1单元格负1结束单元格负1结束单元格行单元格负1结束单元格2单元格负1结束单元格结束表右括号" style="vertical-align:-34px;height:80px;width:140px">

在哪里a{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="一个" style="vertical-align:-6px;height:22px;width:10px">是一个常数。

(一)

的值

a{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="一个" style="vertical-align:-6px;height:22px;width:10px">矩阵

M{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="米" style="vertical-align:-6px;height:22px;width:18px">有逆函数吗?

关键概念

求3x3矩阵的逆矩阵
一个3x3矩阵的行列式

问题1 b

标志:4

假设M是非奇异的，

(b)

找到

M-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="M的负1次幂" style="vertical-align:-6px;height:23px;width:35px" loading="lazy">就…而言

a{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="一个" style="vertical-align:-6px;height:22px;width:10px" loading="lazy">

关键概念

求3x3矩阵的逆矩阵
一个3x3矩阵的行列式

问题2

标志:4

M=k5711121-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="加粗斜体M等于开括号表行k 5 7行1 1 1行2 1单元格负1结束单元格结束表右括号" style="vertical-align:-34px;height:80px;width:115px" loading="lazy">

考虑到k≠4{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="K不等于4" style="vertical-align:-6px;height:22px;width:37px" loading="lazy">， find, in terms ofk{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="k" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">矩阵的逆M{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="大胆的米" style="vertical-align:-6px;height:22px;width:18px" loading="lazy">．

关键概念

求3x3矩阵的逆矩阵
一个3x3矩阵的行列式

问题3

分数:2

M=2-113k432-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="加粗斜体M等于开括号表第2行单元格负1结束单元格1行3k4行32单元格负1结束单元格结束表右括号" style="vertical-align:-34px;height:80px;width:127px" loading="lazy">在哪里k{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="k" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">是一个常数

求的值k{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="k" style="vertical-align:-6px;height:22px;width:11px" loading="lazy">对于这个矩阵M{"language":"en","fontFamily":"Times New Roman","fontSize":"18"}" class="Wirisformula" role="math" alt="加粗斜体M" style="vertical-align:-6px;height:22px;width:19px" loading="lazy">有一个逆矩阵。

关键概念

矩阵的逆
一个3x3矩阵的行列式

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