MATH 1P11 Lecture Notes - Lecture 3: Augmented Matrix, Linear Equation, Main Diagonal
20 Oct 2018
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Document Summary
Linear equations are equations with a degree of and are of the form. In linear equations where , it"s called a homogenous linear equation. The equations do not involve any variables over the power of or any trignometric, logarithmic, or exponential functions. A group of linear equations are called a system of linear equations (linear system) These systems are solved by performing operations on each equation in relation to another equation in the system (such as adding the first equation to the third equation) A linear system must have zero, one or infinitely many solutions. It"s just like seeing each equation in a linear system as a line in a plane (in the case of. 2 variables, similar logic but each equation is plane when there are 3 variables and where planes intersect, there are infinitely many solutions) A linear system is consistent if it has at least one solution.
