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 — 2 5 -8 -3 1 The solution space is |Choose one Choose one a line through the origin a plane through the origin A- 1 2 3 the origin (b) А —D | 2 3 3 1 0 5 The solution space is |Choose one ▼

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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Question 7 of 10
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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
(а) А —
1
-8
-3
The solution space is Choose one
Choose one
a line through the origin
a plane through the origin
1
2 3
the origin
(b) A =
2 3 3
1
0 5
The solution space is |Choose one▼
Transcribed Image Text:Question 7 of 10 > 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 -8 -3 The solution space is Choose one Choose one a line through the origin a plane through the origin 1 2 3 the origin (b) A = 2 3 3 1 0 5 The solution space is |Choose one▼
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