Linear Algebra | Senioritis

John Rhodes
June 21, 2023
Linear Algebra

Understanding Linear Systems in Math: Applications and Solving Techniques

System of linear equations (linear system) is a collection of one or more linear equations involving the same variables. A system of linear equations, also known as...

John Rhodes
June 21, 2023
Linear Algebra

Mastering Linear Algebra: Understanding Equivalent Linear Systems and their transformation through Row Operations

equivalent linear systems linear systems with the same solution set Equivalent linear systems refer to a concept in linear algebra where two systems of linear equations are...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Solution Sets: Exploring Finite and Infinite Solutions and the Empty Set.

solution set the set of all possible solutions A solution set refers to the set of values that satisfy a given equation or inequality. For instance, the...

John Rhodes
June 21, 2023
Linear Algebra

Understanding the Three Types of Solutions for Systems of Linear Equations: Unique, No Solution, and Infinitely Many Solutions

Types of solutions for a system of linear equations 1.) no solution2.) exactly one solution3.) infinitely many solutions There are three types of solutions for a system...

John Rhodes
June 21, 2023
Linear Algebra

Importance of Consistency: How Being Consistent in Maths Leads to Better Learning Outcomes

consistent if a system has at least one solution Consistent refers to something that is continuously happening or behaving in the same way regularly over time. It...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Matrix Size: A Guide to Rows, Columns, and Elements

matrix (size) m x n m = rows n = columns The size of a matrix refers to the number of rows and columns it has. For...

John Rhodes
June 21, 2023
Linear Algebra

Mastering Elementary Row Operations: A Guide to Switching, Scaling, and Adding Rows in Matrix Math

Elementary Row Operations 1. (Replacement) Replace one row by the sum of itself and a multiple of another row.2. (Interchange) Interchange two rows3. (Scaling) Multiply all entries...

John Rhodes
June 19, 2023
Linear Algebra

Understanding Solution Sets for Linear Systems with Multiple Variables in Mathematics.

Is the statement The solution set of a linear system involving variables x1, …, xn is a list of numbers (s1, …, sn) that makes each equation...