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Examples: Solve the following system of linear equations by using the inverse matrix method: 1.  EMBED Equation.3  Solution:  EMBED Equation.3  This is the matrix equation that represents the system. If  EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  This is the determinant and the inverse of the coefficient matrix.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  The common point or solution is (4, -1). This is the result of multiplying the matrix equation by the inverse of the coefficient matrix. 2.  EMBED Equation.3  Solution:  EMBED Equation.3  If  EMBED Equation.3  EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  The common point or solution is (-7, -11).  EMBED Equation.3  In the next example, the products will be written over the common denominator instead of being written as two separate fractions. 3.  EMBED Equation.3  Solution:  EMBED Equation.3  If  EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  The common point or solution is (-2, -5). 4.  EMBED Equation.3  Solution:  EMBED Equation.3  If  EMBED Equation.3   EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3    EMBED Equation.3  EMBED Equation.3  The common point or solution is (-2, 5) Exercises: Solve the following systems of linear equations by using the inverse matrix method: 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4. EMBED Equation.3  Answers: Solving systems of linear equations using the inverse matrix method 1.  EMBED Equation.3  If  EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  2.  EMBED Equation.3  If  EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  3.  EMBED Equation.3  If  EMBED Equation.3  then  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  4. 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