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Row-Echelon Form In Exercises 19-24, whether the matrix is in row-echelon form i

ID: 3113368 • Letter: R

Question

Row-Echelon Form In Exercises 19-24, whether the matrix is in row-echelon form it is whether it is also in reduced row-echelon form [1 0 0 0 1 0 0 1 0 0 2 0] [0 1 1 0 0 2 0 1] [2 0 0 0 -1 0 1 0 2 3 4 1] [1 0 0 0 1 0 2 3 1 1 4 0] [0 0 0 0 0 0 1 0 0 0 1 2 0 0 0] [1 0 0 0 0 0 0 0 0 0 1 0] System of Linear Equations In Exercises 25-38, solve the system using either Gaussian elimination with back-substitution or Gauss- Jordan x + 2y = 7 2x + y = 8 2x + 6y = 16 -2x - 6y = -16 -x + 2y = 1.5 2x - 4y = 3 2x - y = -0.1 3x + 2y = 1.6 -3x + 5y = -22 3x + 4y = 4 4x - 8y = 32 x + 2y = 0 x + y = 6 3x - 2y = 8

Explanation / Answer

20) given matrix is not in row echelon form because pivot point are 0.

22) given matrix is in row echelon form because pivot points are non zero and below pivot point every other term is zero but not in reduced echelon form because terms above pivot point are not zero.

24) marrix is in row echelon form and in reduced row echelon form also because pivot point are non zero and all other terms below and above pivot points are zero.