Mathematics, 13.11.2020 16:20 Yoma321
Find an explicit description of Nul A by listing vectors that span the null space. A=[ 10 3 1 5 4 0 −2 ]
Answers: 2
![\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right]](/tpl/images/0895/0225/a1143.png)
"![A= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]](/tpl/images/0895/0225/afd21.png)
![[A \ \ \ 0]= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]\\\\ R_1\to R_1-3R_2\\\\= \left[\begin{array}{ccccc}1&0&-7&6&0\\0&1&4&-2&0\\\end{array}\right]](/tpl/images/0895/0225/335e6.png)
![x=\left[\begin{array}{c}x_1&x_2&x_3&x_4\\\end{array}\right] = x_3\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] + x_4\left[\begin{array}{c}-6&2&0&1\\\end{array}\right]](/tpl/images/0895/0225/1d021.png)
![{\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right] }](/tpl/images/0895/0225/c8d54.png)
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Find an explicit description of Nul A by listing vectors that span the null space.
A=[ 10 3 1 5 4 0...
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