John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Understanding the Dot Product of Matrices: A Comprehensive Guide

dot product of a matrix The dot product of two matrices, typically denoted as A·B or A∙B, is a binary operation between two matrices that results in...

John Rhodes
July 7, 2023
Calculus

Why Square Matrices Have Inverses: Understanding the Relationship with Determinants

a square matrix has an inverse iff A square matrix has an inverse if and only if its determinant is non-zero A square matrix has an inverse...

John Rhodes
July 7, 2023
Calculus

Matrix Multiplication: Exploring Non-commutativity and Essential Properties for Square Matrices

Is matrix multiplication for square matrices commutative, associative, or distributive? Matrix multiplication for square matrices is not commutative, which means that the order in which the matrices...

John Rhodes
July 7, 2023
Calculus

The Fundamental Theorem of Algebra: Exploring Complex Roots in Polynomial Equations

the fundamental theorem of algebra The fundamental theorem of algebra is a foundational result in mathematics that states that every non-zero, single-variable polynomial equation of degree greater...

John Rhodes
July 7, 2023
Calculus

Understanding Composite Numbers: Definition, Examples, and Prime Number Distinction

composite numbers are Composite numbers are positive integers greater than one that have at least one positive divisor other than one and themselves Composite numbers are positive...

John Rhodes
July 7, 2023
Calculus

Understanding Natural Numbers: Properties, Examples, and Applications

natural numbers Natural numbers are a set of numbers that begin from 1 and continue indefinitely Natural numbers are a set of numbers that begin from 1...

John Rhodes
July 7, 2023
Calculus

The Nature of Irrational Numbers: Exploring the Rationality of their Sums and Products.

sum or product of two irrational numbers is The sum or product of two irrational numbers can be either rational or irrational itself The sum or product...

John Rhodes
July 7, 2023
Calculus

Rational and Irrational Numbers: The Potential for Rational or Irrational Products

product of rational number and irrational number is The product of a rational number and an irrational number can be either rational or irrational, depending on the...