Use Gaussian elimination to find the complete solution to the system of given equations, or show that none exists{(5x,+,8y,-,6y,=,14),(3x,+,4y,-,2z,=,8),(x,+,2y,-,2z,=,3):}

defazajx 2020-11-16 Answered

Use Gaussian elimination to find the complete solution to the system of given equations, or show that none exists
{5x+8y6y=143x+4y2z=8x+2y2z=3

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Expert Answer

i1ziZ
Answered 2020-11-17 Author has 92 answers

consider the following system of linear equations:
5x+8y6z=14
3x+4y2z=8
x+2y2z=3
convert into augmented matrix
[586|14342|8122|3]
Transform the above matrix into reduced row echelon form
R253R2R1
R35R3R1
[586|1404383|23024|1]
R3(23)R3+R2
[586|1404383|23000|0]
Hence, solution of a system of linear equations does not exist

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