a. Explanation Given: The augmented matrix is [ 1 − 1 1 6 − 2 1 − 3 3 3 2 − 2 − 5 ] . Calculation: Obtain the augmented matrix after performing the row operations R 2 = 2 r 1 + r 2 as follows. Let r 1 denote the entries of the first row and r 2 denote the entries of the second row. Apply the row operation, R 2 = 2 r 1 + r 2 , that is, multiply the entries in the row 1 by 2 and then add the resulting value to the entries in the row 2. Replace the second row by the results from the row operation R 2 = 2 r 1 + r 2 as, [ 1 − 1 1 6 − 2 1 − 3 3 3 2 − 2 − 5 ] = [ 1 − 1 1 6 2 ( 1 ) − 2 2 ( − 1 ) + 1 2 ( 1 b. To determine To perform: The row operations R 3 = − 3 r 1 + r 3 to the augmented matrix obtained from part (a).

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter C.3, Problem 36E

To determine

To perform: The row operations R2=2r1+r2 to the augmented matrix.

To determine

To perform: The row operations R3=−3r1+r3 to the augmented matrix obtained from part (a).

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Chapter C.3, Problem 35E

Chapter C.3, Problem 37E

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To perform: The row operations R 2 = 2 r 1 + r 2 to the augmented matrix.

Solution Summary: The author explains how to perform the augmented matrix after performing the row operations R_2.