John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Linear Algebra

Slope-Intercept Form: Understanding Linear Equations in Math and Real Life Applications

A linear equation is an equation that can be written in the form… a1x1+a2x2+…+anxn=b A linear equation is an equation that can be written in the form...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Linear Systems of Equations and Their Importance in Real World Applications

A system of linear equations is… a collection of one or more linear equations involved the same variables. A system of linear equations is a set of...

John Rhodes
June 21, 2023
Linear Algebra

Mastering the Basics: Understanding Linear Systems & Solutions

A solution of the linear system is… a list (s1, s2, …, sn) that makes each equation a true statement when the values s1, s2, etc are...

John Rhodes
June 21, 2023
Linear Algebra

How to Solve a Linear System Using Substitution or Elimination Method

The solution set of the linear system… is the set of all possible solutions. In order to find the solution set of a linear system, we need...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Linear Systems Equivalence with Gaussian Elimination and Row Operations

When are two linear systems called equivalent? If they have the same solution set. Two linear systems are called equivalent if they have the same solution set....

John Rhodes
June 21, 2023
Linear Algebra

Ensuring Consistency in Mathematical Systems: Why It Matters

When is a system consistent? When it has either exactly one solution or infinitely many solutions. A system is consistent when all the equations and constraints in...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Inconsistent Systems in Mathematics: Definition and Examples

When is a system inconsistent? When it has no solution. A system is inconsistent when it cannot have a solution that satisfies all of its equations or...

John Rhodes
June 21, 2023
Linear Algebra

Unlocking the Solutions: Understanding the Importance and Applications of Coefficient Matrices in Linear Equations and Beyond

What is a coefficient matrix? The matrix with the coefficients aligned in columns. A coefficient matrix is a square or rectangular matrix that shows the coefficients of...