Question: A system of linear equations and a reduced matrix for the system are given. (a) Use the reduced matrix to find the general solution of

A system of linear equations and a reduced matrix for the system are given.
(a) Use the reduced matrix to find the general solution of the system, if one exists.
(b) If multiple solutions exist, find two specific solutions.
1.

x+ 2y + 3z = 1 2x - y = 2 x+ 2y + 3z mlin olin 0

2.

2 2x + 3y + 4z = 2 x+ 2y + 2z = 1 x+ y+ 2z = 2

3.

x+ 2y + 3z = 1 2x - y = 2 x+

4.

2y + 3z mlin olin 0 2 2x + 3y + 4z

x+ 2y + 3z = 1 2x - y = 2 x+ 2y + 3z mlin olin 0 2 2x + 3y + 4z = 2 x+ 2y + 2z = 1 x+ y+ 2z = 2

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1 There is no solution since the last row of the reduced matrix says 0x 0y 0z 1 whi... View full answer

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