Determine whether the solution space of the system Ax =0 is a line i
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![Determine whether the solution space of the system Ax = 0 is a line through the origin, a plane through the
origin, or the origin only. If it is a plane, find an equation for it. If it is a line, find parametric equations for
it.
-1
1
(a)
A=
3 -1
2 -4 -5
1 -2
(b)
A=
-3
-2
4 -6
[1 2 3
A=2 5 3
10 8
(c)
[1
A=1
3 10
(d)
2 -6
4
4
[1 -1
A=2 -1
3
(e)
1
4
1 11
(f)
[1 -3 1]
A=|2 -6 2
3 -9 3
ma
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