Solve the following optimization problem using algebraic methods. Maximise f(x1,x2)=3x1+2x2 subjectto: x1 + x2 ≤ 5, −x1 + 2x2 ≤ 4, x1,x2 ≥0. In your answer you must: Write down the initial augmented matrix and the subsequent ma- trices from which you obtain the basic solutions. Find all of the basic solutions.

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A: Topic:- matrix

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.