The linear system x +3y -3z +7w -4z 5w O is consistent and has only nontrivial solutions. is consistent and has only the trivial solution. is consistent and has both trivial and non trivial solutions. is inconsistent

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The linear system
+3y
-3z
+7w
-4z
5w
O is consistent and has only nontrivial solutions.
is consistent and has only the trivial solution.
is consistent and has both trivial and non trivial
solutions.
is inconsistent
Transcribed Image Text:The linear system +3y -3z +7w -4z 5w O is consistent and has only nontrivial solutions. is consistent and has only the trivial solution. is consistent and has both trivial and non trivial solutions. is inconsistent
Expert Solution
Step 1

Given system of equations is homogenous and we know that 

i) Homogenous system are always consistent

ii) Every homogenous system has at least one solution as the zero solution ( or trivial solution)

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