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[mentor note: moved here from another forum hence no HW template]

i have homework about linear algebra(just started learning it) and i got the following question

"to the linear equation systerm :

x+6y-18z=0

-4x+5z=0

-3x+6y-13z=0

-2x-2y+z=0

1. there is infinite solutions

2. there is only trivial solution

"

and i need to check if two of the claims are true or wrong or if only one of them is true.

if i remember correctly when there is a zero row there is also infinite solutions but what i should do now? i need to try to reduce it to row echelon form and see what i get at the end? do i need to try to "clear" the first colume from all zero numbers? i don't know even how to begin solving this. i am realy new to this and i will be realy thankful for anyone who will tell me what to do and give me some more information.

i have homework about linear algebra(just started learning it) and i got the following question

"to the linear equation systerm :

x+6y-18z=0

-4x+5z=0

-3x+6y-13z=0

-2x-2y+z=0

1. there is infinite solutions

2. there is only trivial solution

"

and i need to check if two of the claims are true or wrong or if only one of them is true.

if i remember correctly when there is a zero row there is also infinite solutions but what i should do now? i need to try to reduce it to row echelon form and see what i get at the end? do i need to try to "clear" the first colume from all zero numbers? i don't know even how to begin solving this. i am realy new to this and i will be realy thankful for anyone who will tell me what to do and give me some more information.

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