Question

Which of the following is a homogeneous system of linear equations?


a.

x + y + z = 10                    x + 3y +z  = 15 ,        3x+ y+ z   = 20

b.

7x  – 4y + 9z = 0,           2x + y +z  = 0 ,         3x + 9y – 7z   = 0 

c.

5x + y +10z =  10,              3x + 12y +z  = 7 ,        x +2 y +3z  = 9

d.

x  – 3y + z = 0,          3x - 2y –5z   = 7  ,        2x - 9y +4z  = 8​

Answer 1

Answer:

Which of the following is a homogeneous system of linear equations?

a.

x + y + z = 10                    x + 3y +z  = 15 ,        3x+ y+ z   = 20

b.

7x  – 4y + 9z = 0,           2x + y +z  = 0 ,         3x + 9y – 7z   = 0 

c.

5x + y +10z =  10,              3x + 12y +z  = 7 ,        x +2 y +3z  = 9

d.

x  – 3y + z = 0,          3x - 2y –5z   = 7  ,        2x - 9y +4z  = 8