Write the solution of the given homogeneous system in parametric

luipieduq3

luipieduq3

Answered question

2021-11-14

Write the solution of the given homogeneous system in parametric vector form
3x1+3x2+6x3=0
9x19x218x3=0
6x26x3=0
where the solution set is x=[x1x2x3]

Answer & Explanation

Elizabeth Witte

Elizabeth Witte

Beginner2021-11-15Added 24 answers

To describe the system of equation in the parametric vector form, solve for x1, x2 and x3.
3x1+3x2+6x3=0
9x19x218x3=0
6x26x3=0
Let Solving equation we get:
6x2=6x3
x2=x3
Substitute x2=x3 in equation, we get:
3x13x3+6x3=0
3x1=3x3
x1=x3
Thus, the paranetric vector form for system of equation is as follows:
x=[111]

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