Three nice properties of homogeneous systems of linear equations

Learning Objectives 1) Expand a matrix-vector product via the definition to prove properties like A0=0 2) Apply algebraic rules like distributivity of Matrix-Vector multiplication over vector addition to prove properties like that the sum of solutions to a Ax=0 is itself a solution. 3) Write a solution to Ax=b as the sum of a particular solution and a homogeneous solution This video is part of a Linear Algebra course taught at the University of Cincinnati. BECOME A MEMBER: ►Join:    / @drtrefor   MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett