A system of two equations in three unknowns has been manipulated, and, after correctly using elementary operations,a student arrives at the following equivalent systems of equations:
1. x-y+z=1
3. 0x+0y+0z=3
Give an example of a system of equations that might lead to this solution.

Question

A system of two equations in three unknowns has been manipulated, and, after correctly using elementary operations,a student arrives at the following equivalent systems of equations:
1. x-y+z=1
3. 0x+0y+0z=3
Give an example of a system of equations that might lead to this solution.

amistre64 · Answer

maybe if the equations are affine, and not truely linear ... but as id say the calcs were off

texaschic101 · Answer

are equation 1 and equation 3 supposed to be the result of the system of equations that are made up ?

texaschic101 · Answer

or separate systems made up for each one ?

amistre64 · Answer

Ax = 0 is the trivial solution of x = 0, assuming A is linearly independant right?

texaschic101 · Answer

yes

amistre64 · Answer

if the system is such that 0+0+0 = 3, then it has to be parallel planes

anonymous · Answer

It's two parallel non-coincident planes..

amistre64 · Answer

parallel means noncoinciding ... so say define at as \C is redundant :)

anonymous · Answer

ok..(^_^)
can you check my answer?
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can be the answer, right?