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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Understanding Consistent and Inconsistent Math Systems of Equations.

Consistent System A system is this if it has at least one solution A consistent system is a set of equations in which each equation has a...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Understanding Inconsistent Systems: Linear Equations with No Solution

Inconsistent System A system is this if it has no solution An inconsistent system is a set of linear equations that have no solution. In other words,...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Understanding Linear Systems: Unique, Inconsistent, and Infinitely Many Solutions

Three Possibilities for a Linear System 1. There is no solution2. There is exactly one solution3. There are infinitely many solutions A linear system is a set...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Understanding the Concept of Unique Solutions in Mathematics, Engineering, and Programming

Unique Solution a system of equations in which exactly one value is true (a point of intercept) A unique solution is a solution to a problem that...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Mastering Matrices: A Complete Guide for Mathematical and Scientific Applications

Matrix is a rectangular array of numbers. can be used to represent a linear system. A matrix is a rectangular table of numbers or variables arranged in...
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  • 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...
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  • 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...
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  • 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...
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