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, using t as parameter. -1 1 1 (a) A = 1 1 -5 -2 The solution space is a plane through the origin Equation:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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, using t as parameter.
-1
1
1
(a) A =
1
1
-5 -2
The solution space is a plane through the origin
Equation:
Transcribed Image Text: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, using t as parameter. -1 1 1 (a) A = 1 1 -5 -2 The solution space is a plane through the origin Equation:
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, using t as parameter.
-1
1
1
(а) А
1
%3D
1
-5 -2
The solution space is a line through the origin▼
||
||
Transcribed Image Text: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, using t as parameter. -1 1 1 (а) А 1 %3D 1 -5 -2 The solution space is a line through the origin▼ || ||
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