Notation:

• Linear map equation: T(x)=b
• V, W are finite dimensional vector spaces
• T:V→W is a linear transformation
• b ∈ W

Consistency (Existence of solution):

Uniqueness of solution (if the solution exists):

• Let T(x) = b be consistent. Then its solution is uniqe iff --Select-- 𝑇 is one-to-one 𝑇 is onto 𝑇 is one-to-one and onto 𝑇 is zero transformation
  Submit