Hey there,
I'm working with matrices now and I understand how they are solving the equations in the examples but in the questions we have to answer they give three unknowns and only two equations and are asking me to solve the linear system by using row reduction and interpret the solution geographically. I'm hoping someone can point out where I'm going wrong?
The equations given to solve are:
4x-y+z=2
x+3y-2z=-1
I know to use row reduction you would put the equation into a matrices and then eliminate x (normally) which would then give the answer for y and then substitute that back into the first plane. However, in this equation if I do that it leaves z as an unknown as well so that doesn't work at least not the way they've taught us. In a matrices it would look like:
[4 -1 1|2
1 3 -2|-1]
Please forgive my brackets not sure how to enter the big ones on here or the divider line representing the equal sign but hopefully you get the idea. Can anyone point me in the right direction on how to solve this?
I'm working with matrices now and I understand how they are solving the equations in the examples but in the questions we have to answer they give three unknowns and only two equations and are asking me to solve the linear system by using row reduction and interpret the solution geographically. I'm hoping someone can point out where I'm going wrong?
The equations given to solve are:
4x-y+z=2
x+3y-2z=-1
I know to use row reduction you would put the equation into a matrices and then eliminate x (normally) which would then give the answer for y and then substitute that back into the first plane. However, in this equation if I do that it leaves z as an unknown as well so that doesn't work at least not the way they've taught us. In a matrices it would look like:
[4 -1 1|2
1 3 -2|-1]
Please forgive my brackets not sure how to enter the big ones on here or the divider line representing the equal sign but hopefully you get the idea. Can anyone point me in the right direction on how to solve this?