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Determine whether the given matrix is in row echelon form. 101 002 010 (") The matrix is in row echelon form. () The matrix is not in row echelon form. \\,/ If it is, state whether it is also in reduced row echelon form. () The matrix is in reduced row echelon form. () The matrix is in row echelon form but is not in reduced row echelon form. o () The matrix is not in row echelon form. / Need Help? [[TReadi ] |[Taikto aTutor ] . -/2 points PooleLinAlg4 2.2.014. My Notes + Ask Your Teacher Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form. -9 13 -4 -12 17 1 3 -4 (a) row echelon form (b) reduced row echelon form Need Help? Read It Talk to a Tutor3. +-/2 points PooleLinAlg4 2.2.021. My Notes + Ask Your Teacher Students frequently perform the following type of calculation to introduce a zero into a matrix. 4 1 4R2 - 3R1 3 6 [8 27 ] However, 4R2 - 3R1 is not an elementary row operation. Why not? O 4R2 - 3R1 is not an elementary row operation since it does not include the interchanging of two rows. 4R2 - 3R1 is not an elementary row operation since the coefficient of R1 is 3. 4R2 - 3R1 is not an elementary row operation since the coefficient of R1 is -4. 4R2 - 3R1 is not an elementary row operation since the coefficient of R2 is 4. 4R2 - 3R1 is not an elementary row operation since the coefficient of R2 is -3. Show how to achieve the same result using elementary row operations. Perform the elementary row operation R2 - - R1. Perform the elementary row operation R2 - SR1 . O First perform the elementary row operation R2 - -R1, then perform 4R2. First perform the elementary row operation R2 - -R1, then perform 3R2. First perform the elementary row operation R2 - 3R1, then perform 4R2. Need Help? Read It Talk to a Tutor4. -/1 points PooleLinAlg4 2.2.030. My Notes + Ask Your Teacher Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION.) -X1 + 8x2 - 2x3 + 4X4 = 0 2x1 - 16X2 + X3 - 2X4 = -3 X1 - 8X2 + 4X3 - 8X4 = 2 X1 -2 OH OO X2 HO X3 = + S + + X4 0 0 Need Help? Read It Talk to a TutorUse elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form. -2 6 -7 3 -9 10 =1 3 -5 (a) row echelon form (b) reduced row echelon form Need Help? [CRsai ] |[TukiowTutor]]
