Question: Solutions Ip Tandem: A student who was asked to solve two systems. Noticed that they differed only in their right-hand sides She formed the matrix

Solutions Ip Tandem: A student who was asked to solve two systems.

Solutions Ip Tandem: A student who was asked to solve

Noticed that they differed only in their right-hand sides She formed the matrix

Solutions Ip Tandem: A student who was asked to solve

And obtained its RREF using Gauss-Jordan elimination:

Solutions Ip Tandem: A student who was asked to solve

She concluded that the solutions of the two systems were given. respectively, by the vectors

Solutions Ip Tandem: A student who was asked to solve

Explain why this is correct.

2x- y+z= 6, x +2y =-3, and 2x- y+z=-4. = 5. x +2v 101 121,A 213 1 0 0 1-1 0 1 0-2 3 0 01 2 1 3

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