Application of Matrices and Determinants
Now, let’s look at how determinants and matrices may be used to solve systems of linear equations in two or three variables and to assess the system’s consistency.
- Consistent System: A system of equations is considered to be consistent if it has (one or more) solutions.
- Inconsistent System: If the solution to a system of equations does not exist, the system is said to be inconsistent.
How to Solve a System of Equations using Inverse of Matrices?
How to Solve a System of Equations Using Inverse of Matrices? In mathematics, a matrix is an array of numbers arranged in a rectangular pattern and separated into rows and columns. They’re commonly depicted by enclosing all of the integers within square brackets.
In this article, we will discuss how to solve a system of equations using the inverse of matrices in detail.
Table of Content
- Determinant
- Minors and Cofactors
- Adjoint of a matrix
- Inverse of a matrix
- Application of Matrices and Determinants
- Representing linear systems with matrix equations
- Solving equations with inverse matrices
- Problems on How to Solve a System of Equations using Inverse of Matrices?
- Practice Problems on How to Solve a System of Equations using Inverse of Matrices?