Answer to Question #306689 in Linear Algebra for Nhlonipho Manganyi

Question

10 Look up the concept of a homogeneous linear system.

Which of the following linear systems is homogeneous. [just give the answer I) or II) or III) : no motivation

is required.]

I) 3x + 14y = 0 & 2x − 3y = 7

II) 7x + 2y = 10 & 11x − 0y = 7

III) 4x − 23y = 0 & 7x − 3y = 0

11.) You have a linear homogeneous system in three variables. Give a solution that this system must have.

T

Answer 1

10) III)

11) Each linear homogeneous system must have a trivial solution: x=y=z=0.