Mathematics, 28.06.2021 15:10 kieranoid2017
Show that the set of nonsingluar 2 by 2 matrices is not a vector space. Show also that the set of singular 2 by 2 matrices is not a vector space.
Answers: 3
![\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]](/tpl/images/1385/1581/031e3.png)
+ vector B = ![\left[\begin{array}{ccc}0&1\\1&0\\\end{array}\right]](/tpl/images/1385/1581/8ec44.png)
= ![\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right]](/tpl/images/1385/1581/593ab.png)
( singular vector ) ![\left[\begin{array}{ccc}1&0\\0&0\\\end{array}\right]](/tpl/images/1385/1581/cbe30.png)
+ vector D = ![\left[\begin{array}{ccc}0&0\\0&1\\\end{array}\right]](/tpl/images/1385/1581/e41b6.png)
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Show that the set of nonsingluar 2 by 2 matrices is not a vector space. Show also that the set of si...
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