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Linear Programming Video Lessons How to do Linear Programming Linear Programming with Multiple Solutions Linear Programming with Infinite Solutions Linear Programming with Integer Solutions What is Linear Programming? Linear programming is an algebraic method for finding an optimal value in a situation in which there are constraints. The process involves forming constraint equations, graphing the […]

Video Lesson: Collinear Vectors What are Collinear Points? Collinear points are points that lie on the same line. Points A, B and C are collinear if the vector AB is a multiple of vector BC. That is because if two vectors are parallel and share a common point, they are on the same line. The

Video Lesson: Proof by Induction with Products Pi Product Operator Notation The symbol ∏ is the pi product operator (or product series). Its meaning is to substitute all integer values from the starting value to the final value into the expression that follows and then multiply together all of the outputs. The pi product notation

Video Lesson: How to Convert Degrees to Degrees, Minutes and Seconds to Decimal Degrees What are Degrees, Minutes and Seconds? Degrees, Minutes and Seconds are precise measurements of angles used to describe longitude and latitude. There are 360 degrees in a full circle. Each degree is divided into 60 minutes and each minute is divided

How to Calculate the Vector Projection: Video Lesson How to Find the Vector Projection The formula for the vector projection of a onto b is equal to [a⋅b] / [b⋅b] (b). The formula for the vector projection of onto In this formula: To calculate the vector projection of ‘a’ onto ‘b’: Calculate the dot product

Video Lesson: How to Find the Scalar Product of Two Vectors What is the Scalar Product? The scalar product (dot product) of two vectors measures the extent to which their directions align. The result is a scalar quantity where the larger the value, the more aligned the vectors. A negative scalar product means that the

Video Lesson: How to Find the Inverse of a 2×2 Matrix What is the Inverse of a Matrix? The inverse of a matrix is another matrix that when multiplied by the original matrix results in the identity matrix. For any given matrix, A, its inverse is denoted as A-1. Therefore AA-1=I and A-1A=I. It is

Video Lesson: How to Calculate the Angle and Slope of a Line In this lesson, the angle of inclination of a line will be calculated from the gradient and vice versa. The angle of inclination of a line is the angle that the line makes with the positive 𝑥-axis. This angle is measured in a

Video Lesson: How to Find the Equation of a Parallel Line Passing Through a Point Parallel lines are lines that never meet (never intersect). That is, parallel lines are oriented in the same direction. This means that they have the same gradient. The gradient of a straight line equation (y = m𝑥 + c) is

Video Lesson: How to Find the Equation of a Line when Given Two Points The equation of a straight line can be calculated if two points it passes through are known. The equation can be written in the slope-intercept form, y = m𝑥 + c (sometimes written as y = m𝑥 + b) or the