INSTRUCTORSCarleen EatonGrant Fraser

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Solving Systems of Equations with Matrices

  • We can write a system of equations in matrix form. The result is a matrix equation.

  • A system of equations can be solved using matrices. The solution is the product of the inverse of the matrix of coefficients and the matrix of constants.

  • The system has a unique solution if and only if the matrix of coefficients has an inverse.

  • If the matrix of coefficients does not have an inverse, then either there is no solution or there are an infinite number of solutions.

Solving Systems of Equations with Matrices

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Mathematics: Algebra 2