John Rhodes, Math Teacher at Senioritis.io

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 21, 2023
Discrete Math

Mastering Deductive and Inductive Logic: Key Principles for Mathematics, Science, and Philosophy

Logic the study of formal reasoning Logic is a branch of philosophy and mathematics concerned with reasoning and rational thinking. It involves the use of systematic methods...

John Rhodes
June 21, 2023
Discrete Math

Understanding Propositions: The Basic Unit of Meaning in Logic.

proposition a statement that is either true or false A proposition is a statement that expresses a fact or an idea that can be true or false....

John Rhodes
June 21, 2023
Geometry

Understanding Truth Value: A Guide to Logic, Philosophy, and Everyday Accuracy

truth value a value indicating whether the proposition is actually true or false Truth value is a term used in logic and philosophy that refers to the...