[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.