LEC16

Outline

• Homogeneous linear equation is a linear equation where the RHS is zero.

• $\vec{0}$ is a trivial solution to the system.

• The are always consistent (cuz we always have $\vec{0}$ as a solution).

• $[A|\vec{0}]$ is the associated homogeneous system of $[A|\vec{b}]$.

• We get a system of equations we “read off” from $[A|\vec{0}]$, this is a homogenous system of equations.

• Setting the free param to zero, we get a “particular/trivial solution” to the system.

• This is like point $\vec{p}$ of the line. All the other points on the line are basically linear combinations of this one solution.

• Matrix Algebra basics.