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Definition LT. Linear Transformation. A linear transformation, T : U â V , is a function that carries elements of the vector space U (called the domain) to the vector space V (called the codomain), and which has two additional properties.
A linear program is a mathematical optimization model that has a linear objective function and a set of linear constraints. To provide a quick overview, we describe below what is known as the product-mix problem.The Product-Mix Problem.n other words, the objective function is linear in the decision variables xr and xe. Notice further that the left-hand-side expressions in all four constraints are also linear. This is why we call the above problem a linear program.