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Find-Null-space-of-the-following-matrix-and-also-find-basis-for-the-null-space-1-1-0-0-1-0-0-1-2-0-4-2-0-0-3-1-1-1-2-1-2-2-0-0-2-1-1-2-4-1-




Question Number 129886 by zarawan last updated on 23/Jan/21
Find Null space of the following matrix and also find basis for the null space.   [(1,1,0,0,1),(0,0,1,(−2),0),(4,2,0,0,3),(1,1,1,(−2),1),(2,2,0,0,2),(1,1,2,4,1) ]
$${Find}\:{Null}\:{space}\:{of}\:{the}\:{following}\:{matrix}\:{and}\:{also}\:{find}\:{basis}\:{for}\:{the}\:{null}\:{space}. \\ $$$$\begin{bmatrix}{\mathrm{1}}&{\mathrm{1}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}&{−\mathrm{2}}&{\mathrm{0}}\\{\mathrm{4}}&{\mathrm{2}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{3}}\\{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{−\mathrm{2}}&{\mathrm{1}}\\{\mathrm{2}}&{\mathrm{2}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}\\{\mathrm{1}}&{\mathrm{1}}&{\mathrm{2}}&{\mathrm{4}}&{\mathrm{1}}\end{bmatrix} \\ $$

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