1 -1 1 (d) A = -1 2 3 1 The solution space is Choose one a line through the origin Equation: a plane through the origin the origin

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help algebra

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
-2
1
(c) A
-4 2
3
-6 3
|
The solution space is a plane through the origin
Equation: a1
2x + x3 = 0
-
1
-1
1
(d) А —
-1
3
1
Choose one
The solution space is
a line through the origin
Equation:
a plane through the origin
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 -2 1 (c) A -4 2 3 -6 3 | The solution space is a plane through the origin Equation: a1 2x + x3 = 0 - 1 -1 1 (d) А — -1 3 1 Choose one The solution space is a line through the origin Equation: a plane through the origin the origin
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