Question: (a) Perform the row operations to solve the augmented matrix, (b) Write and solve the system of linear equations (in variables x, y, and z,

(a) Perform the row operations to solve the augmented matrix,
(b) Write and solve the system of linear equations (in variables x, y, and z, if applicable) represented by the augmented matrix, and
(c) Compare the two solution methods. Which do you prefer?
1.
22 4 : - 28 -3 6 -4

(i) Add R2 to R1.
(ii) Add - 2 times R1 to R2.
(iii) Multiply R2 by -1/4.
(iv) Multiply R1 by 1/3.
2.

13 - 1 : -4 -4 -3 -5 -4 -2 6.

(i) Add R2 to R1.
(ii) Multiply R1 by ¼.
(iii) Add R3 to R2.
(iv) Add - 3 times r1 to R3.
(v) Add - 2 times R2 to R1.

22 4 : - 28 -3 6 -4 13 - 1 : -4 -4 -3 -5 -4 -2 6.

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