(2) For each of the three given linear systems of equations, do the following: Write down the augmented coefficient matrix corresponding to the linear sys- tem of equations and use Gaussian elimination to obtain the reduced echelon form of the matrix State whether the system has one solution, no solution, or infinitely many solutions, then write down the solution set . Interpret the solution set in two ways: - as the set of points in R2 corresponding to the intersection of two lines; -as the "weights" of a linear combination of vectors in R2 Sketch graphs that illustrate both geometric interpretations to verify the so- lution set. Explain how the geometric interpretations relate to the number of solutions to the system -201 +T2=3
Show transcribed image text (2) For each of the three given linear systems of equations, do the following: Write down the augmented coefficient matrix corresponding to the linear sys- tem of equations and use Gaussian elimination to obtain the reduced echelon form of the matrix State whether the system has one solution, no solution, or infinitely many solutions, then write down the solution set . Interpret the solution set in two ways: - as the set of points in R2 corresponding to the intersection of two lines; -as the "weights" of a linear combination of vectors in R2 Sketch graphs that illustrate both geometric interpretations to verify the so- lution set. Explain how the geometric interpretations relate to the number of solutions to the system -201 +T2=3