infinite solutions

Consider the system of linear equations x + 2y + z = 5 2x + ay + 4z = 12 2x + 4y + 6z = b The values of a and b such that there exists a non-trivial null space and the system admit...

Consider the system of linear equations x + 2y + z = 5 2x + ay + 4z = 12 2x + 4y + 6z = b The values of a and b such that there exists a non-trivial null space and the system admit...

The set of equations x + y + z = 1 ax - ay + 3z = 5 5x - 3y + az = 6 has infinite solutions, if a =

$$x+2y+z=4, 2x+y+2z=5, x-y+z=1$$ The system of algebraic equations given above has

Consider the following system of equations $$2{x_1} + {x_2} + {x_3} = 0,\,\,{x_2} - {x_3} = 0$$ and $${x_1} + {x_2} = 0.$$ This system has