John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 29, 2023
Geometry

How to Calculate the Area of a Rectangle | Step-by-Step Guide with Formula

area of a rectangle The area of a rectangle is the measure of the surface enclosed by its four sides The area of a rectangle is the...

John Rhodes
July 29, 2023
Geometry

Understanding Circumference | The Math behind a Circle’s Total Length

circumference The circumference of a circle is the distance around its outer boundary The circumference of a circle is the distance around its outer boundary. It is...

John Rhodes
July 29, 2023
Geometry

Understanding Perimeter | Calculating the Total Length of 2D Shapes

perimeter Perimeter is a mathematical term that refers to the total length of the boundary of a two-dimensional (2D) shape Perimeter is a mathematical term that refers...

John Rhodes
July 29, 2023
Linear Algebra

The Fundamental Property of Consistent Systems in Linear Equations | Consistency for One Equals Consistency for All

if the system is consistent for some choice of constants, it is consistent for every choice of constants In the context of linear equations, a consistent system...

John Rhodes
July 29, 2023
Linear Algebra

Understanding Inconsistent Systems in Mathematics | Exploring Cases Where a System Can Never Have Consistent Solutions

there is no system that is inconsistent for every choice of constants In mathematics, an inconsistent system refers to a set of equations or inequalities that cannot...

John Rhodes
July 29, 2023
Linear Algebra

Understanding Row Echelon Form in Linear Algebra and Its Significance in Solving Systems of Equations

if the row echelon form of C has a row of zeros, there is no solution In linear algebra, the row echelon form of a matrix is...

John Rhodes
July 29, 2023
Linear Algebra

Determining Solutions | The Significance of Zeros in the Reduced Row Echelon Form of a Matrix

if there is no solution, the reduced row echelon form of C has a row of zeros In linear algebra, the reduced row echelon form (RREF) of...

John Rhodes
July 29, 2023
Linear Algebra

Understanding the Significance of a Row of Zeros in a Matrix | Implications for Solution Quantity and Consistency

if A has a row of zeros, there is more than one solution When a matrix A has a row of zeros, it means that one of...